{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Table of contents**<a id='toc0_'></a>    \n",
    "- [1-课堂画图](#toc1_)    \n",
    "  - [常见激活函数](#toc1_1_)    \n",
    "  - [2 用relu掰弯直线，保存为gif](#toc1_2_)    \n",
    "  - [直接线性拟合作为对比-保存为GIF](#toc1_3_)    \n",
    "  - [常见Loss函数](#toc1_4_)    \n",
    "\n",
    "<!-- vscode-jupyter-toc-config\n",
    "\tnumbering=false\n",
    "\tanchor=true\n",
    "\tflat=false\n",
    "\tminLevel=1\n",
    "\tmaxLevel=6\n",
    "\t/vscode-jupyter-toc-config -->\n",
    "<!-- THIS CELL WILL BE REPLACED ON TOC UPDATE. DO NOT WRITE YOUR TEXT IN THIS CELL -->"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# <a id='toc1_'></a>[1-课堂画图](#toc0_)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## <a id='toc1_1_'></a>[常见激活函数](#toc0_)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1500x1000 with 7 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 画出gif动图\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import torch.nn.functional as F\n",
    "import torch\n",
    "\n",
    "#定义阶梯函数，阈值伪0.58\n",
    "def step_function(x):\n",
    "    return np.array(x>0.58,dtype=np.float32)\n",
    "#定义siemoid函数\n",
    "def sigmoid(x):\n",
    "    return 1/(1+np.exp(-x))\n",
    "\n",
    "#tanh\n",
    "def tanh(x):\n",
    "    return np.tanh(x)\n",
    "\n",
    "#relu\n",
    "def relu(x):\n",
    "    return np.maximum(0,x)\n",
    "\n",
    "#leaky_relu\n",
    "def leaky_relu(x):\n",
    "    return np.maximum(0.1*x,x)\n",
    "\n",
    "#elu\n",
    "def elu(x):\n",
    "    x = torch.tensor(x)\n",
    "    elu_y = F.elu(x,alpha=1.0)\n",
    "    return elu_y\n",
    "    # return np.maximum(0.1*(np.exp(x)-1),x)\n",
    "\n",
    "#画出两个函数\n",
    "x=np.arange(-5,5,0.1)   #x取值范围，0.1为步长\n",
    "step=step_function(x)\n",
    "sigmoid_y=sigmoid(x)\n",
    "tanh_y=tanh(x)\n",
    "relu_y=relu(x)\n",
    "leaky_relu_y=leaky_relu(x)\n",
    "elu_y=elu(x)\n",
    "\n",
    "\n",
    "plt.figure(figsize=(15,10))   #设置画布大小\n",
    "plt.title(\"Actiivation Function\")   #画出表头\n",
    "\n",
    "\n",
    "plt.subplot(321)\n",
    "plt.plot(x,step,color='red',linestyle='--',label='step_function',linewidth=2.0)\n",
    "plt.legend(loc='upper left',prop={'size':15})\n",
    "#设置图例字体\n",
    "\n",
    "plt.grid(True)  #显示网格\n",
    "\n",
    "plt.subplot(322)\n",
    "plt.plot(x,sigmoid_y,color='blue',linestyle='-',label='sigmoid',linewidth=2.0) \n",
    "plt.legend(loc='upper left',prop={'size':15})\n",
    "plt.grid(True)  #显示网格 \n",
    "\n",
    "plt.subplot(323)\n",
    "plt.plot(x,tanh_y,color='green',linestyle='-',label='tanh',linewidth=2.0)\n",
    "plt.legend(loc='upper left',prop={'size':15})\n",
    "plt.grid(True)  #显示网格\n",
    "\n",
    "plt.subplot(324)\n",
    "plt.plot(x,relu_y,color='black',linestyle='-',label='relu',linewidth=2.0)\n",
    "plt.legend(loc='upper left',prop={'size':15})\n",
    "plt.grid(True)  #显示网格\n",
    "\n",
    "plt.subplot(325)\n",
    "plt.plot(x,leaky_relu_y,color='magenta',linestyle='-',label='leaky_relu',linewidth=2.0)\n",
    "plt.legend(loc='upper left',prop={'size':15})\n",
    "plt.grid(True)  #显示网格\n",
    "\n",
    "\n",
    "plt.subplot(326)\n",
    "plt.plot(x,elu_y,color='purple',linestyle='-',label='elu',linewidth=2.0)\n",
    "plt.legend(loc='upper left',prop={'size':15})\n",
    "plt.grid(True)  #显示网格\n",
    "\n",
    "\n",
    "\n",
    "plt.savefig('activation_function.png')\n",
    "plt.show()\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## <a id='toc1_2_'></a>[2 用relu掰弯直线，保存为gif](#toc0_)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Net(\n",
      "  (hidden): Linear(in_features=1, out_features=10, bias=True)\n",
      "  (predict): Linear(in_features=10, out_features=1, bias=True)\n",
      ")\n",
      "step:0  loss0.10608403384685516\n",
      "step:20  loss0.054847344756126404\n",
      "step:40  loss0.02587459608912468\n",
      "step:60  loss0.012377158738672733\n",
      "step:80  loss0.007674261461943388\n",
      "step:100  loss0.006197184324264526\n",
      "step:120  loss0.005613888613879681\n",
      "step:140  loss0.005212665069848299\n",
      "step:160  loss0.0049042729660868645\n",
      "step:180  loss0.004621524829417467\n",
      "making gif....\n",
      "done!\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\"\"\"\n",
    "View more, visit my tutorial page: https://mofanpy.com/tutorials/\n",
    "My Youtube Channel: https://www.youtube.com/user/MorvanZhou\n",
    "\n",
    "Dependencies:\n",
    "torch: 0.4\n",
    "matplotlib\n",
    "\"\"\"\n",
    "import torch\n",
    "import torch.nn.functional as F\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib.animation as animation\n",
    "\n",
    "\n",
    "##################构造假数据######################################\n",
    "x = torch.unsqueeze(torch.linspace(-1, 1, 100), dim=1)  # x data (tensor), shape=(100, 1)\n",
    "y = x.pow(2) + 0.2*torch.rand(x.size())                 # noisy y data (tensor), shape=(100, 1)\n",
    "\n",
    "\n",
    "####################定义网络############################################\n",
    "class Net(torch.nn.Module):\n",
    "    def __init__(self, n_feature, n_hidden, n_output):\n",
    "        super(Net, self).__init__()\n",
    "        self.hidden = torch.nn.Linear(n_feature, n_hidden)   # hidden layer\n",
    "        self.predict = torch.nn.Linear(n_hidden, n_output)   # output layer\n",
    "\n",
    "    def forward(self, x):\n",
    "        x = F.relu(self.hidden(x))      # activation function for hidden layer\n",
    "        # x = self.hidden(x)\n",
    "        x = self.predict(x)             # linear output\n",
    "        return x\n",
    "    \n",
    "\n",
    "##################定义超参数################################    \n",
    "net = Net(n_feature=1, n_hidden=10, n_output=1)     # define the network\n",
    "print(net)  # net architecture\n",
    "optimizer = torch.optim.SGD(net.parameters(), lr=0.2)\n",
    "loss_func = torch.nn.MSELoss()  # this is for regression mean squared loss\n",
    "\n",
    "# 定义画布与接收历史数据\n",
    "fig, ax = plt.subplots()    #fig是整个图像，ax是子图\n",
    "ax.clear()  # 清空当前轴的内容\n",
    "ax.scatter(x.data.numpy(), y.data.numpy())\n",
    "ax.set_title('bend by Relu ')\n",
    "ims = []\n",
    "\n",
    "\n",
    "####################迭代200次训练，保存数据用于画图##########################\n",
    "for t in range(200):\n",
    "    prediction = net(x)     # input x and predict based on x\n",
    "    loss = loss_func(prediction, y)     # must be (1. nn output, 2. target)\n",
    "    optimizer.zero_grad()   # clear gradients for next train\n",
    "    loss.backward()         # backpropagation, compute gradients\n",
    "    optimizer.step()        # apply gradients\n",
    "    if t % 1 == 0:\n",
    "        if t % 20 ==0:\n",
    "            print('step:{}  loss{}'.format(t,loss.data.numpy()))\n",
    "        line, = ax.plot(x.data.numpy(), prediction.data.numpy(), 'r-', lw=5)  # 画出预测数据，红色，线宽为5\n",
    "        text = ax.text(0.5, 0, f'Loss={loss.data.numpy():.4f}', fontdict={'size': 20, 'color': 'red'})  # 在图上显示损失\n",
    "        text = ax.text(1, 0, f'step={t}', fontdict={'size': 20, 'color': 'blue'})  # 在图上显示损失\n",
    "        ims.append([line, text])  # 将line和text对象作为列表添加到ims中\n",
    "\n",
    "# 画出GIF\n",
    "\n",
    "ani = animation.ArtistAnimation(fig, ims, interval=50, repeat_delay=2000)   #创建fig\n",
    "print('making gif....')\n",
    "ani.save('figs/relu.gif')    #保存为gif文件\n",
    "#清空ims\n",
    "ims.clear()\n",
    "print('done!')\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## <a id='toc1_3_'></a>[直接线性拟合作为对比-保存为GIF](#toc0_)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Net(\n",
      "  (hidden): Linear(in_features=1, out_features=10, bias=True)\n",
      "  (predict): Linear(in_features=10, out_features=1, bias=True)\n",
      ")\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "step:0  loss0.14518797397613525\n",
      "step:20  loss0.09835614264011383\n",
      "step:40  loss0.09835614264011383\n",
      "step:60  loss0.09835614264011383\n",
      "step:80  loss0.09835614264011383\n",
      "step:100  loss0.09835614264011383\n",
      "step:120  loss0.09835614264011383\n",
      "step:140  loss0.09835614264011383\n",
      "step:160  loss0.09835614264011383\n",
      "step:180  loss0.09835614264011383\n",
      "making gif....\n",
      "done!\n"
     ]
    }
   ],
   "source": [
    "\"\"\"\n",
    "View more, visit my tutorial page: https://mofanpy.com/tutorials/\n",
    "My Youtube Channel: https://www.youtube.com/user/MorvanZhou\n",
    "\n",
    "Dependencies:\n",
    "torch: 0.4\n",
    "matplotlib\n",
    "\"\"\"\n",
    "import torch\n",
    "import torch.nn.functional as F\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "import matplotlib.animation as animation\n",
    "# import imageio\n",
    "import os\n",
    "# torch.manual_seed(1)    # reproducible\n",
    "\n",
    "x = torch.unsqueeze(torch.linspace(-1, 1, 100), dim=1)  # x data (tensor), shape=(100, 1)\n",
    "y = x.pow(2) + 0.2*torch.rand(x.size())                 # noisy y data (tensor), shape=(100, 1)\n",
    "\n",
    "\n",
    "class Net(torch.nn.Module):\n",
    "    def __init__(self, n_feature, n_hidden, n_output):\n",
    "        super(Net, self).__init__()\n",
    "        self.hidden = torch.nn.Linear(n_feature, n_hidden)   # hidden layer\n",
    "        self.predict = torch.nn.Linear(n_hidden, n_output)   # output layer\n",
    "\n",
    "    def forward(self, x):\n",
    "        x = self.hidden(x)   # activation function for hidden layer\n",
    "        x = self.predict(x)             # linear output\n",
    "        return x\n",
    "\n",
    "net = Net(n_feature=1, n_hidden=10, n_output=1)     # define the network\n",
    "print(net)  # net architecture\n",
    "\n",
    "optimizer = torch.optim.SGD(net.parameters(), lr=0.2)\n",
    "loss_func = torch.nn.MSELoss()  # this is for regression mean squared loss\n",
    "\n",
    "\n",
    "# 创建一个图像，用于动态展示\n",
    "\n",
    "fig, ax = plt.subplots()    #fig是整个图像，ax是子图\n",
    "ax.clear()  # 清空当前轴的内容\n",
    "ax.scatter(x.data.numpy(), y.data.numpy())\n",
    "#设定标题\n",
    "ax.set_title('Linear Regression')\n",
    "ims = []\n",
    "\n",
    "for t in range(200):\n",
    "    prediction = net(x)     # input x and predict based on x\n",
    "\n",
    "    loss = loss_func(prediction, y)     # must be (1. nn output, 2. target)\n",
    "\n",
    "    optimizer.zero_grad()   # clear gradients for next train\n",
    "    loss.backward()         # backpropagation, compute gradients\n",
    "    optimizer.step()        # apply gradients\n",
    "\n",
    "    if t % 1 == 0:\n",
    "        # plt.cla()   #   cla是clear axis的缩写，即清除当前图形中的当前活动轴。其他轴不受影响。\n",
    "        # plt.scatter(x.data.numpy(), y.data.numpy()) # scater 画出散点图\n",
    "        # plt.plot(x.data.numpy(), prediction.data.numpy(), 'r-', lw=5)   # 画出预测数据，红色，线宽为5\n",
    "        # plt.text(0.5, 0, 'Loss=%.4f' % loss.data.numpy(), fontdict={'size': 20, 'color':  'red'})   #在图上显示损失\n",
    "        plt.pause(0.01)  # 暂停0.1秒\n",
    "        # 保存当前的图像状态\n",
    "        if t % 20 ==0:\n",
    "            print('step:{}  loss{}'.format(t,loss.data.numpy()))\n",
    "        line, = ax.plot(x.data.numpy(), prediction.data.numpy(), 'g-', lw=5)  # 画出预测数据，红色，线宽为5\n",
    "        text = ax.text(0.5, 0, f'Loss={loss.data.numpy():.4f}', fontdict={'size': 20, 'color': 'red'})  # 在图上显示损失\n",
    "        text = ax.text(0.5, 1, f'step={t}', fontdict={'size': 20, 'color': 'blue'})  # 在图上显示损失\n",
    "        # 正确保存当前帧的图形对象\n",
    "        ims.append([line, text])  # 将line和text对象作为列表添加到ims中\n",
    "\n",
    "ani = animation.ArtistAnimation(fig, ims, interval=50, repeat_delay=1000)   #fig是图像，ims是图像列表，interval是每帧之间的间隔，单位是毫秒，repeat_delay是重复播放的延迟时间，单位是毫秒\n",
    "print('making gif....')\n",
    "#保存为gif文件，如果存在则先删除\n",
    "ani.save('figs/None_activation.gif')    #保存为gif文件\n",
    "#清空ims\n",
    "ims.clear()\n",
    "print('done!')\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## <a id='toc1_4_'></a>[常见Loss函数](#toc0_)\n",
    "\n",
    "L1、L2、smoothL1\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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B+Pn5cfTo0aT2FhFxR/qfQkTEBemLvHgSfZ5FxBPoN5mIiIiIiMhtqHASERERERG5DRVOIiIiqTRx4kRCQ0OtjuEyxo4dy8MPP2x1DBGRDKHCSURE0kX37t1p27btDR+7cOECL7zwAmXKlCEwMJDChQvTr18/IiIi0vyaGS02NpYhQ4bw1ltvJd03bNgwbDYbYWFhKfYfOXIkNpuNhg0bJt139epVBgwYQPHixcmSJQt58uShYcOGLF68OGmfhg0bYrPZUlyee+65m2azqp169uzJjh072LRpU4YfW0Qko2lWPRERcbqTJ09y8uRJRo0aRfny5Tl69CjPPfccJ0+eZO7cuVbHS5V58+aRLVs26tWrl+z+/Pnzs3btWv755x8KFiyYdP/kyZMpXLhwsn2fe+45tm/fztixYylfvjznz59n8+bNnD9/Ptl+PXv25O233052X2BgYDq/o7vn7+9Ply5dGDNmDA8++KDVcUREnEo9TiIiLs4w4OpVay6GkT7voWLFisybN4/WrVtTokQJGjduzLvvvssPP/xAfHx8ml93/fr11KpVC39/f/Lnz8/AgQOTvd7cuXOpVKkSAQEB5M6dm6ZNm3L16lUA1q1bR5MmTQgKCiJHjhzUrVuXo0eP3vRY33zzzQ2HpYWEhBAaGsrUqVOT7tu8eTPnzp2jZcuWyfb94YcfGDx4MC1atKBo0aJUr16dF154gW7duiXbLzAwkHz58iW7BAcHp6mN4O7bqVatWmTNmvWG7fTwww+zcOFCoqOj05xPRMQdqHASEXFxUVGQLZs1l6go572viIgIgoOD8fFJ2+CHEydO0KJFC2rWrMkvv/zCuHHjmDhxIu+88w4A4eHhdO7cmR49enDgwAHWrVtH+/btMQyD+Ph42rdvT506ddizZw9btmyhV69e2Gy2mx5v48aN1KhR44aP9ejRgylTpiTdnjRpEl27dsXPzy/Zfvny5WPJkiVcvnw5Te85Le62ndq2bUuDBg3Yu3fvDdupRo0a2O12tm/fnmHvSUTEChqqJyIiGe78+fOMGDGCZ599Ns2v8cUXX1CoUCHGjh2LzWajbNmynDx5kgEDBjBkyBDCw8OTCqQiRYoAUKlSJcA85yoiIoKwsDBKlCiBl5cX5cqVu+mxLl26xKVLlyhQoMANH2/VqhXPPfccGzZsoHr16nz77bds2rSJSZMmJdtvwoQJdO3aldy5c1OlShUefPBBOnbsSN26dVO8t6+//jrZfZ9//nmKnqmMaqdWrVpRokQJgBTt5OiJ+vvvv2nQoMEd5xMRcRcqnEREXFxgIFy5Yt2x01tkZCQtW7akfPnyDB06NM2vc+DAAWrXrp2s96Nu3bpcuXKFf/75hypVqtCkSRMqVapE8+bNCQ0NpWPHjuTMmZNcuXLRrVs3OnToQNOmTWnWrBmdOnUif/78NzyWYxhalixZbvi4r68vjz/+OJMnT+bw4cOULl2aypUrp9ivfv36HD58mK1bt/LTTz+xZs0aPv30U4YPH55s0omuXbvyxhtvJHtuSEjIHbcR3H07de/enebNm9OsWTOaNm16w3YKCAggypndkyIiLkBD9UREXJzNBlmzWnO5xci1NLl8+TJhYWFky5aNBQsW4Ovrm+bXMgwjxdA649+Tsmw2G97e3qxcuZKlS5dSvnx5xowZQ5kyZThy5AhgDqdbsWIFderUYc6cOZQuXZqtW7fe8Fi5c+fGZrNx8eLFm+bp0aMH3333HZ9//jk9evS46X6+vr7Uq1ePgQMHsmLFCt5++21GjBhBXFxc0j7Zs2enZMmSyS5pPcfpbttp8uTJbNmy5ZbtdOHCBfLkyZOmfCIi7kKFk4iIZIjIyEhCQ0Px8/Nj0aJFN+29Sa3y5cuzefPmpCIAzEkZgoKCuPfeewGzMKhbty7Dhw9n9+7d+Pn5sWDBgqT9K1euzMCBA9m8eTMVK1Zk1qxZNzyWn58f5cuXZ//+/TfNU6FCBSpUqMCvv/5Kly5d7uh9xMfHExMTk+rn3In0aKdq1aoxaNCgG7bTX3/9RUxMDNWqVXNKfhERV6GheiIikm4iIiLYs2dPsvty5cpFzpw5CQ0NJSoqihkzZhAZGUlkZCQAefLkwdvb+45fs3fv3owePZoXXniBvn37cvDgQYYOHUr//v3x8vJi27ZtrF69mtDQUEJCQti2bRtnz56lXLlyHDlyhC+//JLGjRtTqlQp/vzzT/744w+efPLJm+Zo3rw5mzZt4qWXXrrpPmvWrMFut5MjR44bPt6wYUM6d+5MjRo1yJ07N/v372fw4ME0atQoWY9SVFQUp06dSvZcf39/cubMmeHtNGHCBB5++GEKFCjAwYMHU7TTxo0bKV68eNI5UCIinkqFk4iIpJt169al6Hno1q0b3bt3Z9u2bQCULFky2eNHjhyhaNGid/yaU6ZMYcmSJbz22mtUqVKFXLly8fTTT/Pmm28CEBwczIYNGxg9ejSRkZEUKVKEjz76iIceeojTp0/z+++/M3XqVC5cuED+/Pnp27fvLSer6NmzJ/fddx8RERFkz579hvtkzZr1ps8Hs/iaOnUqgwcPJioqigIFCtCqVSuGDBmSbL+vvvqKr776KsVzly1bZlk7nT9//obtNHv2bHr27HnL9y0i4hEMF/Hee+8ZgPHiiy/ecr9169YZ9913n+Hv728UK1bMGDdu3B0dJyIiwgCMiIiIu0ibfuLi4oyFCxcacXFxVkfxSGpf51L7pr/o6Ghj//79RnR0tJGQkGBcvHjRSEhIsDqWR0pL+z7yyCPGe++958RU7mXfvn1GSEiIcenSpRSPXd++13+uJX3o969zqX2dy5Xa905qA5c4x2nHjh1MmDDhhjMQXe/IkSO0aNGCevXqsXv3bgYPHky/fv2YN29eBiUVEZHM7MMPPyRbtmxWx3AZJ0+eZNq0aTftgRMR8SSWF05Xrlyha9eufPXVV7ccuw0wfvx4ChcuzOjRoylXrhzPPPMMPXr0YNSoURmUNn1dvgzffWfj999v/b5FRMQ1FClShBdeeMHqGC4jNDSU5s2bWx1DRNzM99/b2L07D9dNJuoWLD/HqU+fPrRs2ZKmTZsmrWJ+M1u2bCE0NDTZfc2bN2fixInY7fYbTmsbGxtLbGxs0m3Hych2ux273Z4O7yDthg/34qOPfKhXrzgvvGBtFk/l+Blb/bP2VGrf9Ge32zEMg8TExKRZ0By3JX2pfZ3rv+1rGAZ2u/2WE4FI6un3r3OpfZ3HMGDQIG8OHapDiRKxPPaYtW18Jz9jSwunb775hl27drFjx45U7X/q1Cny5s2b7L68efMSHx/PuXPnbrhw4fvvv8/w4cNT3L9ixQoCnbGy4x0ICckJ1GfnzrwsWbIMX1/9x+0sK1eutDqCR1P7ph8fHx/y5cvHlStXktb1uXz5ssWpPJva17kuX75MXFwc0dHRbNiwgfj4eKsjeRT9/nUutW/6O3YsiEOHGuPjk4Cv7yqWLLH2d8KdLN5tWeF0/PhxXnzxRVasWHFHa3ncahG/Gxk0aBD9+/dPuh0ZGUmhQoUIDQ1N82KC6SUsDD75JJFTp3zx8mpGixb6K1x6s9vtrFy5kmbNmt3VQptyY2rf9BcTE8Px48fJli0b/v7+XL58maCgoJv+jpO0MwxD7etE17dvbGwsAQEB1K9f/67X7xKTfv86l9rXed57zzxTqGrVszz8cCPL29cxGi01LCucfv75Z86cOUP16tWT7ktISGDDhg2MHTuW2NjYFN35+fLlS7GuxZkzZ/Dx8SF37tw3PI6/vz/+/v4p7vf19bX8BwXQpk0CX34JP/7oR/v2lp9y5rFc5eftqdS+6SchIQGbzYaXl1fSl3nHbUlfjuF5al/n+G/72mw2/a5wArWpc6l909+iReb1/feH4+ub2/L2vZPjW/Y/RZMmTdi3bx979uxJutSoUYOuXbuyZ8+eG46Brl27doou0xUrVlCjRg3LGz2t2rY1e8x++MFGQoLFYUREREREnOTvv2HXLvDyMqhV69Rt93c1lhVOQUFBVKxYMdkla9as5M6dm4oVKwLmMLvrVyd/7rnnOHr0KP379+fAgQNMmjSJiRMn8uqrr1r1Nu5a/foG2bLFcfasjZ9+sjqNiIiIiIhzLFxoXj/4oEH27G42pR4uMB35rYSHh3Ps2LGk28WKFWPJkiWsW7eOqlWrMmLECD777DM6dOhgYcq74+sLNWqcBmDBAovDiIiIiIg4ieO7bps2hrVB0sjy6civt27dumS3p0yZkmKfBg0asGvXrowJlEEeeOAk69YVYsEC+Phj0DnKIiKuaeLEicyZM4cVK1ZYHcVldOzYkTp16iSbiElE5L/OnIGNG83tNm0S+fVXa/OkhUv3OGUW1aqdJSDA4OhR2L3b6jQiImnTvXt32rZte9PHJ0yYQMOGDQkODsZms3Hp0qW7fs2MFBsby5AhQ3jrrbeS7hs2bBg2m42wsLAU+48cORKbzUbDhg1TPPbPP//g5+dH2bJlb3gsm812w8s333xz03xFixZl9OjRd/y+7taQIUN4991372hmKhHJfBYtMtdwql4dChe2Ok3aqHByAf7+CYSGml2WGq4nIp4qKiqKsLAwBg8ebHWUNJk3bx7ZsmWjXr16ye7Pnz8/a9eu5Z9//kl2/+TJkyl8k28HU6ZMoVOnTkRFRfHTTU5wnTx5MuHh4ckurlJEXq9y5coULVqUmTNnWh1FRFzY/Pnmdbt21ua4GyqcXETbtua0rSqcRCQFw4D4q9ZcjPQbh/7SSy8xcOBAHnjggXR7zfXr11OrVi38/f3Jnz8/AwcOTLbA6ty5c6lUqRIBAQHkzp2bpk2bcvXqVcAcHt6kSROCgoLIkSMHdevW5ejRozc91jfffMPDDz+c4v6QkBBCQ0OZOnVq0n2bN2/m3LlztGzZMsX+hmEwefJknnjiCbp06cLEiRNveLwcOXKQL1++ZJe7WQNp3LhxlChRAj8/P8qUKcP06dOTPT5s2DAKFy6Mv78/BQoUoF+/fkmPffHFF5QqVYosWbKQN29eOnbsmOy5Dz/8MLNnz05zNhHxbJGRsHq1ud2+vbVZ7oZLneOUmbVoYeDjA7/9Bn/8AaVLW51IRFxGQhTMtWjB7k5XwCerNce+jRMnTtCiRQu6d+/OtGnT+P333+nZsydZsmRh2LBhhIeH07lzZ0aOHEm7du24fPkyGzduxDAM4uPjad++PU888QTffPMN8fHxbN++/ZYL4W7cuJGuXbve8LEePXrw+uuv88YbbwAwadKkm+67du1aoqKiaNq0KQULFuT+++/n008/JSgo6O4b5SYWLFjAiy++yOjRo2natCmLFy/mqaeeomDBgjRq1Ii5c+fyySef8M0331ChQgVOnTrFL7/8AsDOnTvp168f06dPp06dOly4cIGNjhMV/lWrVi3ef/99YmNjb7h2oohkbkuWQFwclCkD5cqB3W51orRR4eQicuaERo1g5Uqz12nAAKsTiYi4ti+++IJChQoxduxYbDYbZcuW5eTJkwwYMIAhQ4YQHh6eVCAVKVIEgEqVKgFw4cIFIiIiCAsLo0SJEnh5eVGuXLmbHuvSpUtcunSJAgUK3PDxVq1a8dxzz7FhwwaqV6/Ot99+y6ZNm5g0aVKKfSdOnMhjjz2Gt7c3FSpUoGTJksyZM4dnnnkm2X6dO3dOsabh3r17KV68+B21E8CoUaPo3r07vXv3BqB///5s3bqVUaNG0ahRI44dO0a+fPlo2rQpvr6+FC5cmFq1agFw7NgxsmbNSqtWrQgKCqJIkSJUq1Yt2evfe++9xMbGcurUqaS2FhFx8IRheqDCyaW0b6/CSURuwDvQ7Pmx6tgu6sCBA9SuXTtZL1HdunW5cuUK//zzD1WqVKFJkyZUqlSJ5s2bExoaSseOHcmZMye5cuWiW7dudOjQgaZNm9KsWTM6depE/vz5b3is6OhogJsOlfP19eXxxx9n8uTJHD58mNKlS1O5cuUU+126dIn58+ezadOmpPsef/xxJk2alKJw+uSTT2jatGmy+woVKpS6xvmPAwcO0KtXr2T31a1bl08//RSARx55hNGjR1O8eHHCwsJo0aIFrVu3xsfHh2bNmlGkSJGkx8LCwmjXrh2Bgdc+GwEBAYB5HpuIyPViYmDpUnPbnYfpgc5xcilt2phTkW/bBidOWJ1GRFyGzWYOl7Pi4sLrIxiGkWJonfHvOVk2mw1vb29WrlzJ0qVLKV++PGPGjKFMmTIcOXIEMIfTrVixgjp16jBnzhxKly7N1q1bb3is3LlzY7PZuHjx4k3z9OjRg++++47PP/+cHj163HCfWbNmERMTw/3334+Pjw8+Pj4MGDCALVu2sH///mT75suXj5IlSya7+Pr6prp9/utGbeW4r1ChQhw8eJDPP/+cgIAAevfuTf369bHb7QQFBbFr1y5mz55N/vz5GTJkCFWqVEk2K+KFCxcAyJMnT5rziYhnWrUKrlyBggWhRg2r09wdFU4uJH9+cJwz7VhZWUREbqx8+fJs3rw5qVgCc1KGoKAg7r33XsAsFurWrcvw4cPZvXs3fn5+LLhuFp7KlSszcOBANm/eTMWKFZk1a9YNj+Xn50f58uVTFDfXq1ChAhUqVODXX3+lS5cuN9xn4sSJvPLKK+zZsyfp8ssvv9CoUaMbDutLL+XKlUvWywVmW10/PDEgIICHH36Yzz77jHXr1rFlyxb27dsHgI+PD02bNmXkyJHs3buXv//+mzVr1iQ999dff6VgwYLcc889TnsPIuKeHMP02rZ16b/FpYqG6rmY9u1hyxZzuF6fPlanERG5MxEREezZsyfZfbly5aJw4cKcOnWKU6dOcejQIQD27dtHUFAQhQsXJleuXHf8mr1792b06NG88MIL9O3bl4MHDzJ06FD69++Pl5cX27ZtY/Xq1YSGhhISEsK2bds4e/Ys5cqV48iRI3z55Zc0btyYUqVK8eeff/LHH3/w5JNP3jRH8+bN2bRpEy+99NJN91mzZg12u50cOXKkeGzPnj3s2rWLmTNnpli/qXPnzrzxxhu8//77Sb1Kly5d4tSpU8n2CwoKImvWm0/WceLEiRRtVbhwYV577TU6derEfffdR5MmTfjhhx+YP38+q1atAszp0RMSErj//vsJDAxk+vTpBAQEUKRIERYvXszhw4epX78+OXPmZMmSJSQmJlKmTJmkY2zcuJHQ0NCb5hKRzCk+3ly/Cdx/mB4ARiYTERFhAEZERITVUQzDMIy4uDhj4cKFRlxcnGEYhnHokGGAYXh7G8a5cxaH8wD/bV9JX2rf9BcdHW3s37/fiI6ONhISEoyLFy8aCQkJVsdKlW7duhlAiku3bt0MwzCMoUOH3vDxyZMnp/k1161bZ9SsWdPw8/Mz8uXLZwwYMMCw2+2GYRjG/v37jebNmxt58uQx/P39jdKlSxtjxowxDMMwTp06ZbRp08bIly+f4efnZxQpUsQYMmTILdv6wIEDRkBAgHHp0qWk+4YOHWpUqVLlps958cUXjQYNGhiGYRh9+/Y1ypcvf8P9zpw5Y3h7exvz5s0zDMO44XsGjPfff/+mxypSpMgt2/eLL74wihcvbvj6+hqlS5c2pk2blvTcBQsWGPfff78RHBxsZM2a1XjggQeMVatWGYZhGBs3bjQaNGhg5MyZ0wgICDAqV65szJkzJ+m50dHRRnBwsLFly5Zkea7//F7/uZb0od+/zqX2TR9r15rfa3PnNox/fzUbhuFa7XsntYHNMNJxkQ43EBkZSfbs2YmIiCA42KLpfa9jt9tZsmQJLVq0SPorY+XKsG8fTJkC3bpZm8/d3ah9Jf2ofdNfTEwMR44coVixYvj5+REZGUlwcDBeXhpZnd4SExPvuH07depEtWrVGDRokJPTuY/PP/+c77//nhUrViS7//r2jYuLS/pc381aVHKNfv86l9o3ffTrB2PGQPfuMHnytftdqX3vpDbQ/8QuyNGVqcVwRURcy4cffki2bNmsjuFSfH19GTNmjNUxRMTFGMa177IeMUwPFU4uyTHH/fLl8O8C9yIi4gKKFCnCCy+8YHUMl9KrV69k5zuJiADs3An//ANZs0KzZlanSR8qnFxQ5cpQrJg57/2yZVanERERERG5M47epoceAk8ZoavCyQXZbNe6NB1TOIqIiIiIuAtPG6YHKpxclmO43uLFEBtrbRYRERERkdTavx9+/x18faFFC6vTpB8VTi6qdm1zQdzISFi92uo0IiIiIiKpM2+eed2sGWTPbm2W9KTCyUV5eV3rdXJ8+EREREREXJ3ju2uHDtbmSG8qnFyY48P2/ffmyssiIiIiIq7sr7/gl1/A2xvatLE6TfpS4eTC6teH3Lnh/HlYv97qNCIiIiIit+bobWrY0Pwe60lUOLkwHx9o29bc1nA9EZH0lzNnThYuXGh1DBERj+Gpw/RAhZPLc3zoFiyAxERrs4iI3MqZM2d49tlnKVy4MP7+/uTLl4/mzZuzZcsWq6MxbNgwqlatmi6v1bBhQ1566aWbPv7uu+9Sp04dAgMDyZEjR7q8poiIOzh+HLZvN5fWcZyr70l8rA4gt9akiTkbyalTsHkzPPig1YlERG6sQ4cO2O12pk6dSvHixTl9+jSrV6/mwoULVkfLUHFxcTzyyCPUrl2biRMnWh1HRCTDONYfrVsX8uWzNoszqMfJxfn5QevW5raG64lkToZhcDXuqiUXwzBSlfHSpUts2rSJ//3vfzRq1IgiRYpQq1YtBg0aRMuWLZP2s9lsfPnll7Rq1YrAwEDKlSvHli1bOHToEA0bNiRr1qzUrl2bv/76K9nrjxs3jhIlSuDn50eZMmWYPn16ssePHTtGmzZtyJYtG8HBwXTq1InTp08DMGXKFIYPH84vv/yCzWbDZrMxZcqUpOeeO3eOdu3aERgYSKlSpVi0aFEaf1Km4cOH8/LLL1OpUqW7ep3rzZs3jwoVKuDv70/RokX56KOPkj3+xRdfUKpUKbJkyULevHnp2LFj0mNz586lUqVKBAQEkDt3bpo2bcrVq1fTLZuIiIMnD9MD9Ti5hY4dYcYMs4r/+GOz+1NEMo8oexTB/wu25NhXBl0hq1/W2+6XLVs2smXLxsKFC3nggQfw9/e/6b4jRozg448/5uOPP2bAgAF06dKF4sWLM2jQIAoXLkyPHj3o27cvS5cuBWDBggW8+OKLjB49mqZNm7J48WKeeuopChYsSKNGjTAMg7Zt25I1a1bWr19PfHw8vXv35tFHH2XdunU8+uij/PrrryxbtoxVq1YBkP26hUVGjBjByJEj+fDDDxkzZgxdu3bl6NGj5MqV6y5bL338/PPPdOrUiWHDhvHoo4+yefNmevfuTe7cuenevTs7d+6kX79+TJ8+nTp16nDhwgU2btwIQHh4OJ07d2bkyJG0a9eOy5cvs3HjxlQXxCIiqXXqFGzaZG63b29tFmdR4eQGQkMha1Y4dgx27oSaNa1OJCKSnI+PD1OmTKFnz56MHz+e++67jwYNGvDYY49RuXLlZPs+9dRTdOrUCYABAwZQu3Zt3nrrLZo3bw7Aiy++yFNPPZW0/6hRo+jevTu9e/cGoH///mzdupVRo0bRqFEjVq1axd69ezly5AiFChUCYPr06VSoUIEdO3ZQs2ZNsmXLho+PD/muGzuS+O+Jo926daNz584AvPfee4wZM4bt27cTFhbmpNa6Mx9//DFNmjThrbfeAqB06dLs37+fDz/8kO7du3Ps2DGyZs1Kq1atCAoKokiRIlSrVg0wC6f4+Hjat29PkSJFANK1J0xExGHhQjAM83tq4cJWp3EOFU5uICAAWraEb781u0BVOIlkLoG+gVwZdMWyY6dWhw4daNmyJRs3bmTLli0sW7aMkSNH8vXXX9O9e/ek/a4vpPLmzQsk/zKfN29eYmJiiIyMJDg4mAMHDtCrV69kx6pbty6ffvopAAcOHKBQoUJJRRNA+fLlyZEjBwcOHKDmbX5pXn/srFmzEhQUxJkzZ1L9vp3twIEDtPnPYih169Zl9OjRJCQk0KxZM4oUKULx4sUJCwsjLCwsaehhlSpVaNKkCZUqVaJ58+aEhobSsWNHcubMadG7ERFP5enD9EDnOLkNx4dw3jyzmheRzMNms5HVL6slF9sdjg3OkiULzZo1Y8iQIWzevJnu3bszdOjQZPv4+vome283uy/xuqlE/5vDMIyk+67fvtk+t3L9sR3HSnShaUxv9D6uH2oXFBTErl27mD17Nvnz52fIkCFUqVKFS5cu4e3tzcqVK1m6dCnly5dnzJgxlClThiNHjmT02xARD3b+PKxda26rcBLLtWgBWbLAoUOwb5/VaUREUqd8+fJ3PRFBuXLl2OQYOP+vzZs3U65cuaRjHDt2jOPHjyc9vn//fiIiIpL28fPzIyEh4a5yWKV8+fI3fP+lS5fG29sbMIdKNm3alJEjR7J3717+/vtv1qxZA5iFYN26dRk+fDi7d+/Gz8+PBQsWZPj7EBHPtWgRJCRA5cpQsqTVaZxHQ/XcRLZs0Lw5fP+92ev0n1MGREQsdf78eR555BF69OhB5cqVCQoKYufOnYwcOTLFMLM79dprr9GpUyfuu+8+mjRpwg8//MD8+fOTJnpo2rQplStXpmvXrowePTppcogGDRpQo0YNAIoWLcqRI0fYs2cPBQsWJCgoKEVP0504e/Yse/bsSXZfvnz5yJcvH8eOHePChQscO3aMhISEpP1KlixJtmzZ7vg1X3nlFWrWrMmIESN49NFH2bJlC2PHjuWLL74AYPHixRw+fJj69euTM2dOlixZQmJiImXKlGHbtm2sXr2a0NBQQkJC2LZtG2fPnk0qKEVE0kNmGKYHgJHJREREGIARERFhdRTDMAwjLi7OWLhwoREXF3fbfadNMwwwjAoVMiCYh7iT9pU7p/ZNf9HR0cb+/fuN6OhoIyEhwbh48aKRkJBgdazbiomJMQYOHGjcd999Rvbs2Y3AwECjTJkyxptvvmlERUUl7QcYCxYsSLp95MgRAzB2796ddN/atWsNwLh48WLSfV988YVRvHhxw9fX1yhdurQxbdq0ZMc/evSo8fDDDxtZs2Y1goKCjEceecQ4depUsnwdOnQwcuTIYQDG5MmTjYSEBAMw5s2bl+y1smfPbkyePPmm77VBgwYGkOIydOhQwzAMo1u3bjd8fO3atWl+zblz5xrly5c3fH19jcKFCxsffvhh0nM3btxoNGjQwMiZM6cREBBgVK5c2ZgzZ45hGIaxf/9+o3nz5kaePHkMf39/o3Tp0saYMWNumiM9Xf/5vf5zLelDv3+dS+2behERhuHnZ35H/fXX1D3Hldr3TmoDm2FkrjNmIiMjyZ49OxEREQQHWzO97/XsdjtLliyhRYsWt/3r56VLEBICdjv8/juUKZMxGd3ZnbSv3Dm1b/qLiYnhyJEjFCtWDD8/v6QJEry8NLI6vSUmJqp9nej69o2Li0v6XGfJksXqaB5Bv3+dS+2berNmQdeu5vfSAwdSt2yOK7XvndQG+p/CjeTIAU2amNtaDFdERERErHb9MD1PX2tUhZObuX52PRERERERq1y9Cv+uVe755zehwsnttGkDXl6waxdoNlkRERERscqyZRAdDUWLwr/rbns0FU5uJk8eaNDA3J4/39osIiIiIpJ5ZaZheqDCyS1puJ6I58tk8/aIh9PnWcTzxMTA4sXmdmYYpgcqnNxS+/ZmVb9lC1y33qOIeADH7EJRUVEWJxFJP47Ps9WzZ4lI+lmxAi5fhnvvhfvvtzpNxtACuG4of36oWxc2bTKH6734otWJRCS9eHt7kyNHDs6cOUNiYiKJiYnExMRoumwnSExMJC4uTu3rJImJicTGxnL+/HnOnTtHjhw58Pb2tjqWiKSTuXPN644dzfPvMwMVTm7qkUfMwum771Q4iXiafPnyAXD27Fmio6MJCAjAlhkGj2cwwzDUvk50ffvmzJkz6XMtIu4vNha+/97c7tjR2iwZSYWTm+rQwSyYfvoJTpwwu0lFxDPYbDby589Pzpw5Wb16NfXr19cQJyew2+1s2LBB7eskjvZt0qSJFr0V8TArV0JkJBQoAHXqWJ0m46hwclP33msO1/vpJ3OSiH79rE4kIunN29ub+Ph4smTJoi/2TqD2dS5H+2p4nojn+e4787pDh8wzTA80OYRbe+QR89rx4RURERERcabrh+k5votmFiqc3Jhj6seffoKTJ63NIiIiIiKeb9UqiIi4NllZZqLCyY0VLAi1a4NhaDFcEREREXE+x2x67dtnrmF6oMLJ7Wm4noiIiIhkhLg4WLjQ3M5sw/RAhZPbcwzX27gRwsOtzSIiIiIinmv1arh0CfLmhQcftDpNxlPh5OYKFzZXa9ZwPRERERFxputn08uME2aqcPIAGq4nIiIiIs5kt2fuYXqgwskjOFZs3rABTp2yNouIiIiIeJ7Vq+HiRQgJgXr1rE5jDRVOHqBIEahVyxyut2CB1WlERERExNNcP5teZhymByqcPIaG64mIiIiIM9jt1/44n1mH6YEKJ4/hmF1v/Xo4c8baLCIiIiLiOdauhQsXIE8eqF/f6jTWUeHkIYoVgxo1IDFRs+uJiIiISPpxjGhq3x58fKzNYiUVTh5Ew/VEREREJD1pmN41Kpw8iGN2vXXrNFxPRERERO7eunVw/jzccw80aGB1GmupcPIgxYvDffeZw/Uc8+yLiIiIiKSVYza9du0y9zA9UOHkcTRcT0RERETSQ3z8tXPnM/swPVDh5HEcH+q1a+HsWWuziIiIiIj7WrcOzp2D3LmhYUOr01jP0sJp3LhxVK5cmeDgYIKDg6lduzZLly696f7r1q3DZrOluPz+++8ZmNq1lShhDtdLSNDseiIiIiKSdt9+a163bw++vtZmcQWWFk4FCxbkgw8+YOfOnezcuZPGjRvTpk0bfvvtt1s+7+DBg4SHhyddSpUqlUGJ3cOjj5rXc+ZYm0NERERE3JPdDvPmmduO75aZnaWFU+vWrWnRogWlS5emdOnSvPvuu2TLlo2tW7fe8nkhISHky5cv6eLt7Z1Bid2DY7je+vVw6pS1WURERETE/axZc23R28w+m56Dy8yNkZCQwHfffcfVq1epXbv2LfetVq0aMTExlC9fnjfffJNGjRrddN/Y2FhiY2OTbkdGRgJgt9ux2+3pE/4uODKkZ5aCBaFmTW927PDi228TeP75xHR7bXfjjPaVa9S+zqX2dS61r3OpfZ1L7etcal+YPdsb8KJ9+wQMI5H0bApXat87yWAzDMNwYpbb2rdvH7Vr1yYmJoZs2bIxa9YsWrRoccN9Dx48yIYNG6hevTqxsbFMnz6d8ePHs27dOurXr3/D5wwbNozhw4enuH/WrFkEBgam63txJQsXlmDKlIqUL3+O9977yeo4IiIiIuIm7HYb3buHcfWqHyNGbKJSpfNWR3KaqKgounTpQkREBMHBwbfc1/LCKS4ujmPHjnHp0iXmzZvH119/zfr16ylfvnyqnt+6dWtsNhuLFi264eM36nEqVKgQ586du23jZAS73c7KlStp1qwZvul41t3x41CihC82m8Hhw/Hce2+6vbRbcVb7iknt61xqX+dS+zqX2te51L7Oldnbd8kSG23b+pAvn8GRI/Gk91kxrtS+kZGR3HPPPakqnCwfqufn50fJkiUBqFGjBjt27ODTTz/lyy+/TNXzH3jgAWbMmHHTx/39/fH3909xv6+vr+U/qOuld57ixaFOHdi82cb33/vy4ovp9tJuydV+3p5G7etcal/nUvs6l9rXudS+zpVZ29cxKcQjj9jIksV5798V2vdOju9y6zgZhpGsh+h2du/eTf78+Z2YyH116mReO6aSFBERERG5lZgY+P57c9vxXVJMlvY4DR48mIceeohChQpx+fJlvvnmG9atW8eyZcsAGDRoECdOnGDatGkAjB49mqJFi1KhQgXi4uKYMWMG8+bNY56jLJZkHnkEXn4ZNm82h+4VKmR1IhERERFxZcuXQ2Qk3HuvOXpJrrG0cDp9+jRPPPEE4eHhZM+encqVK7Ns2TKaNWsGQHh4OMeOHUvaPy4ujldffZUTJ04QEBBAhQoV+PHHH286mURmV6AA1KsHGzaYvU6vvGJ1IhERERFxZY51QDt1Ai+XG5tmLUsLp4kTJ97y8SlTpiS7/frrr/P66687MZHn6dRJhZOIiIiI3F50NDjmW9MwvZRUR3q4Dh3MvxZs3w5HjlidRkRERERc1ZIlcPUqFC4M999vdRrXo8LJw+XLd221Z00SISIiIiI3c/0wPZvN2iyuSIVTJvDoo+a1CicRERERuZGrV2HxYnPb8d1RklPhlAm0bw/e3rBrFxw6ZHUaEREREXE1ixeb5zgVLw7Vq1udxjWpcMoE8uSBxo3NbfU6iYiIiMh/Ob4japjezalwyiQcXa6OsasiIiIiIgCXL5sTQ4CG6d2KCqdMol078PGBvXvh99+tTiMiIiIirmLRIoiJgVKloEoVq9O4LhVOmUSuXPDvusIariciIiIiSRzfDR99VMP0bkWFUyai4XoiIiIicr1Ll2DZMnNbw/RuTYVTJtKmDfj5wf79sG+f1WlERERExGrffw9xcVCuHFSoYHUa16bCKRPJkQPCwsztb76xNIqIiIiIuIDZs83rxx7TML3bUeGUyXTubF5/8w0YhrVZRERERMQ6Z8/CqlXm9mOPWZvFHahwymRat4bAQDh8GHbssDqNiIiIiFhl7lxISID77oPSpa1O4/pUOGUyWbPCww+b2xquJyIiIpJ5Ob4LOkYkya2pcMqEHP845swx/8ogIiIiIpnLP//Axo3mtmbTSx0VTplQ8+bmRBEnT8KmTVanEREREZGM9u235vnuDz4IhQpZncY9qHDKhPz9oX17c9sxk4qIiIiIZB6O74Aappd6KpwyKcfMKXPngt1ubRYRERERyTiHDsHOneDtDR07Wp3GfahwyqQaNYKQEDh//to0lCIiIiLi+RyTQjRpYn4flNRR4ZRJ+fhAp07mtobriYiIiGQOhqFhemmlwikTcwzXW7gQoqMtjSIiIiIiGeDXX2H/fvDzg7ZtrU7jXlQ4ZWK1a0PhwnD5MixZYnUaEREREXE2R29TixbmLMuSeiqcMjEvr2vz9msxXBERERHPZhjXvvM5Rh5J6qlwyuQcY1sXL4bISGuziIiIiIjzbN8OR45A1qzQurXVadyPCqdMrmpVKFMGYmJg0SKr04iIiIiIszh6m9q0gcBAa7O4IxVOmZzNdq2rVrPriYiIiHimhASYM8fc1jC9tFHhJEn/eFasMNd1EhERERHPsnEjhIebE0I0b251GvekwkkoW9YcshcfD/PmWZ1GRERERNKbY2RRhw7mVORy51Q4CXBtkggN1xMRERHxLHFxMHeuua1Fb9NOhZMA16YlX78eTp60NouIiIiIpJ9Vq+DCBcibFxo2tDqN+1LhJAAUKQJ165rz+ztOHBQRERER9zdrlnndqRN4e1ubxZ2pcJIkXbqY1zNnWptDRERERNLH1auwcKG53bWrpVHcngonSfLII+ZfIX7+GQ4etDqNiIiIiNytRYvM4qlECahVy+o07k2FkyTJk+fa9JSOLl0RERERcV+OkURdupjrd0raqXCSZBzD9WbNMs93EhERERH3dO4cLF9ubju+40naqXCSZNq0gcBAOHQIduywOo2IiIiIpNV335nrdN53n7lup9wdFU6STLZs0Latua1JIkRERETcl+O7nCaFSB8qnCQFR1funDnmXylERERExL38/Tf89JN5XpNjvU65OyqcJIXQUMidG06fhjVrrE4jIiIiIndq9mzzulEjuPdea7N4ChVOkoKvr7lAGmh2PRERERF35PgOp0kh0o8KJ7khx1jY+fMhOtraLCIiIiKSenv3wq+/gp8fdOhgdRrPocJJbqh2bShSBC5fhsWLrU4jIiIiIqnl6G1q2RJy5LA0ikdR4SQ35OV1rWtXs+uJiIiIuIfExGuFk2bTS18qnOSmHIXTkiVw4YK1WURERETk9jZtguPHITjY7HGS9KPCSW6qYkWoXBnsdpg3z+o0IiIiInI7jt6mDh0gSxZrs3gaFU5yS44uXg3XExEREXFtcXHw3XfmtobppT8VTnJLjz1mXm/YYHb7ioiIiIhrWr7cPL0if35o2NDqNJ5HhZPcUuHCUL8+GAZ8843VaURERETkZhwjhB57DLy9rc3iiVQ4yW05JonQYrgiIiIirunyZVi0yNzWorfOocJJbqtjR/D1hT17YP9+q9OIiIiIyH8tXAjR0VC6NFSvbnUaz6TCSW4rd24ICzO3Z8ywNouIiIiIpOT4jtalC9hs1mbxVCqcJFWeeMK8njnTXFhNRERERFxDeDisWmVuP/64tVk8mQonSZVWrcyF1I4dg40brU4jIiIiIg6zZ5t/2K5dG0qUsDqN51LhJKkSEACPPGJuT59ubRYRERERucbx3cwxQkicQ4WTpJrjH+N335knH4qIiIiItX791ZzAy9cXOnWyOo1nU+EkqVavnrmuU2Qk/PCD1WlERERExDEpRMuW5oRe4jwqnCTVvLyga1dzW7PriYiIiFgrMfHaoreaFML5VDjJHXEM11u6FM6etTaLiIiISGa2bh388w/kyGFO5CXOpcJJ7ki5cuaiavHxMGeO1WlEREREMi/HCKBOncDf39osmYGlhdO4ceOoXLkywcHBBAcHU7t2bZYuXXrL56xfv57q1auTJUsWihcvzvjx4zMorTg4uoI1XE9ERETEGlFRMHeuua1hehnD0sKpYMGCfPDBB+zcuZOdO3fSuHFj2rRpw2+//XbD/Y8cOUKLFi2oV68eu3fvZvDgwfTr14958+ZlcPLMrXNn8PaGbdvgjz+sTiMiIiKS+SxaBJcvQ9GiULeu1WkyB0sLp9atW9OiRQtKly5N6dKleffdd8mWLRtbt2694f7jx4+ncOHCjB49mnLlyvHMM8/Qo0cPRo0alcHJM7e8eSE01NxWr5OIiIhIxnN8B3v8cXMCL3E+H6sDOCQkJPDdd99x9epVateufcN9tmzZQqjjG/u/mjdvzsSJE7Hb7fj6+qZ4TmxsLLGxsUm3IyMjAbDb7djt9nR8B2njyOAKWe7EY4/ZWLrUhxkzDN58Mx6bzepEN+au7esu1L7OpfZ1LrWvc6l9nUvt61yu3r5nzsCyZT6AjUcfteOiMW/Kldr3TjJYXjjt27eP2rVrExMTQ7Zs2ViwYAHly5e/4b6nTp0ib968ye7Lmzcv8fHxnDt3jvz586d4zvvvv8/w4cNT3L9ixQoCAwPT502kg5UrV1od4Y5kyeJNlixhHDniw8cfb6VcuQtWR7old2tfd6P2dS61r3OpfZ1L7etcal/nctX2Xby4OAkJlShV6iJ//bWBv/6yOlHauEL7RkVFpXpfywunMmXKsGfPHi5dusS8efPo1q0b69evv2nxZPtP14ZhGDe832HQoEH0798/6XZkZCSFChUiNDSU4ODgdHoXaWe321m5ciXNmjW7YY+ZK1u82Ivp0+Hw4Tq88kqi1XFuyJ3b1x2ofZ1L7etcal/nUvs6l9rXuVy9fd95xxuA3r2DadGihcVp7pwrta9jNFpqWF44+fn5UbJkSQBq1KjBjh07+PTTT/nyyy9T7JsvXz5OnTqV7L4zZ87g4+ND7psslezv74//DeZn9PX1tfwHdT1Xy5Ma3brB9Okwd643Y8Z4u/Q0mO7Yvu5E7etcal/nUvs6l9rXudS+zuWK7XvwIOzcaU7U1bWrN76+3lZHSjNXaN87Ob7LnUpmGEayc5KuV7t27RRdeitWrKBGjRqWN3pm1LAhFCgAFy/Cjz9anUZERETE802fbl6HhUGePNZmyWwsLZwGDx7Mxo0b+fvvv9m3bx9vvPEG69ato2vXroA5zO7JJ59M2v+5557j6NGj9O/fnwMHDjBp0iQmTpzIq6++atVbyNTMv3SY25pdT0RERMS5EhNh5kxz+4knrM2SGVlaOJ0+fZonnniCMmXK0KRJE7Zt28ayZcto1qwZAOHh4Rw7dixp/2LFirFkyRLWrVtH1apVGTFiBJ999hkdOnSw6i1keo5/tIsXwwXXnh9CRERExK399BP8/TcEBcHDD1udJvOx9ByniRMn3vLxKVOmpLivQYMG7Nq1y0mJ5E5VqgSVK8PevfDtt/Dcc1YnEhEREfFMjmF6HTtCQIC1WTIjlzvHSdyPYzTl1KnW5hARERHxVNHRMGeOua1hetZQ4SR3rUsXc8XqrVvNmV5EREREJH19/z1ERkKRItCggdVpMicVTnLX8ueH5s3NbUcXsoiIiIikH8fInieeMP9gLRlPzS7pols383r6dHPGFxERERFJHydPwooV5vZ1E05LBlPhJOmiTRvInh2OHYN166xOIyIiIuI5Zs0y/zBdpw6UKmV1msxLhZOkiyxZ4NFHzW1NEiEiIiKSPgzj2ncrxwgfsYYKJ0k3jn/M8+bBlSvWZhERERHxBLt3w6+/gr8/dOpkdZrMTYWTpJvataFkSbh61SyeREREROTuOHqb2raFHDmsTCIqnCTd2Gxa00lEREQkvcTFmec3gSaFcAUqnCRdORZkW7sWjh61NouIiIiIO1u6FM6dg3z5IDTU6jSiwknSVdGi0LChua01nURERETSzjGCp2tX8PGxNouocBIncEwSMW2aOROMiIiIiNyZ8+dh8WJzW7PpuQYVTpLuOnSAwED480/YutXqNCIiIiLuZ/ZssNuhWjWoVMnqNAIqnMQJgoLM4gk0SYSIiIhIWmjtJtejwkmcwvGPfM4ciImxNouIiIiIO9m/H3buNM9r6tzZ6jTioMJJnKJhQyhYEC5dgkWLrE4jIiIi4j4cvU0PPQQhIdZmkWtUOIlTeHtfm5pcw/VEREREUichAWbMMLc1TM+1qHASp3H8Y1++HE6dsjaLiIiIiDtYtQpOnoScOaFVK6vTyPVUOInTlCkD999v/uVk5kyr04iIiIi4PsdInc6dwd/f2iySnAoncSpHr9OUKVrTSURERORWLl2CBQvMbQ3Tcz0qnMSpHnvM/GvJr7/Czz9bnUZERETEdTlmIy5fHmrWtDqN/JcKJ3GqnDmhXTtze9Ika7OIiIiIuDLHd6WnngKbzdoskpIKJ3G6Hj3M69mztaaTiIiIyI3s3w/btyefmVhciwoncbrGjaFQIXPc7sKFVqcRERERcT2TJ5vXLVtC3rzWZpEbU+EkTuftfe0ER8cvBREREREx2e0wfbq5/dRT1maRm1PhJBmie3fzeuVKOH7c0igiIiIiLmXZMjh9GvLkMXucxDWpcJIMUaIENGhgTknuWJ9ARERERK5NCvHEE+Dra20WuTkVTpJhHF3PWtNJRERExHTmDCxebG5rmJ5rU+EkGaZjR8iWDf76CzZutDqNiIiIiPVmzoT4eKhRAypWtDqN3IoKJ8kwWbNCp07mtiaJEBERkczOMK59J1Jvk+tT4SQZyrGm03ffweXL1mYRERERsdKuXbBvH/j7Q+fOVqeR21HhJBmqTh0oXRquXjWLJxEREZHMyjEpRLt2kDOntVnk9lQ4SYay2a5NTa7heiIiIpJZxcTArFnmtobpuQcVTpLhnnwSvLxg0yb480+r04iIiIhkvO+/h0uXoGBBaNLE6jSSGiqcJMPdey+EhprbU6ZYGkVERETEEo6RN926gbe3tVkkdVQ4iSUck0RMnQoJCdZmEREREclIx4/DihXmtuMUBnF9KpzEEg8/DLlywYkTsHKl1WlEREREMs60aeZU5PXrQ8mSVqeR1FLhJJbw94cuXcxtTRIhIiIimYVhXDtVQZNCuBcVTmIZx3C9hQvh3DlLo4iIiIhkiA0b4NAhyJYNOna0Oo3cCRVOYplq1eC++yAuDmbMsDqNiIiIiPN9/bV53bmzWTyJ+1DhJJZ6+mnz+uuvza5rEREREU916RLMnWtuO74DiftQ4SSW6tIFsmSB336D7dutTiMiIiLiPLNmmQvfVqwItWpZnUbulAonsVSOHPDII+a2o+taRERExBM5vus88wzYbNZmkTunwkks5+iq/uYbuHLF2iwiIiIizrBrF+zeDX5+8PjjVqeRtFDhJJZzrGFw5Qp8+63VaURERETS38SJ5nW7dpA7t7VZJG1UOInlbDazyxo0XE9EREQ8T3Q0zJxpbju+84j7UeEkLqFbN/D2hi1bYP9+q9OIiIiIpJ958yAiAooWhcaNrU4jaaXCSVxCvnzQqpW57ejKFhEREfEEjhE1PXqAl759uy396MRlOLqup00zF8UVERERcXd//gnr15sFU/fuVqeRu6HCSVxGWBjkzw/nzsGiRVanEREREbl7kyaZ182bQ6FC1maRu6PCSVyGjw889ZS5rUkiRERExN3Fx8OUKea2JoVwfyqcxKX06GFer1gBx45Zm0VERETkbixZAqdOQUjItXO5xX2pcBKXUqIENGoEhgGTJ1udRkRERCTtHCNonnzSXPhW3JsKJ3E5jq7sSZMgIcHaLCIiIiJpcfIk/Pijuf3009ZmkfShwklcTvv2kDOnOVRv9Wqr04iIiIjcualTITERHnwQypa1Oo2kBxVO4nKyZIGuXc3tr76yNouIiIjInUpMvLYupXqbPIcKJ3FJjuF6338PZ85Ym0VERETkTqxbB3/9BUFB8MgjVqeR9KLCSVxSlSpQqxbY7dem8RQRERFxB19+aV4//jhkzWptFkk/KpzEZfXqZV5/9ZXZ5S0iIiLi6s6cgQULzG3HdxnxDJYWTu+//z41a9YkKCiIkJAQ2rZty8GDB2/5nHXr1mGz2VJcfv/99wxKLRnl0UfNLu5Dh8wubxERERFXN3WqOWKmZk2oWtXqNJKeLC2c1q9fT58+fdi6dSsrV64kPj6e0NBQrl69etvnHjx4kPDw8KRLqVKlMiCxZKRs2cwuboAJE6zNIiIiInI7hnHtO8uzz1qbRdKfj5UHX7ZsWbLbkydPJiQkhJ9//pn69evf8rkhISHkyJHDienEFfTqBePGwfz5cPYs5MljdSIRERGRG1u3zhwpExRkjpwRz2Jp4fRfERERAOTKleu2+1arVo2YmBjKly/Pm2++SaNGjW64X2xsLLGxsUm3IyMjAbDb7djt9nRIfXccGVwhiyuqUAFq1PBm504vJk5M4JVX7uxkJ7Wvc6l9nUvt61xqX+dS+zqX2te50tq+48Z5A1507pyAv38i+vHcmCt9fu8kg80wDMOJWVLNMAzatGnDxYsX2bhx4033O3jwIBs2bKB69erExsYyffp0xo8fz7p1627YSzVs2DCGDx+e4v5Zs2YRGBiYru9BnGPlysJ8/nk18ue/whdfrMZmszqRiIiISHIREX48/XRz4uO9+PjjdRQvHmF1JEmFqKgounTpQkREBMHBwbfc12UKpz59+vDjjz+yadMmChYseEfPbd26NTabjUWLFqV47EY9ToUKFeLcuXO3bZyMYLfbWblyJc2aNcPX19fqOC7pyhUoXNiHK1dsrFgRT8OGqf/Iqn2dS+3rXGpf51L7Opfa17nUvs6Vlvb9+GMvBg70pnr1RLZsSXByQvfmSp/fyMhI7rnnnlQVTi4xVO+FF15g0aJFbNiw4Y6LJoAHHniAGTNm3PAxf39//P39U9zv6+tr+Q/qeq6Wx5XkzAldu5prIkya5EOzZnf+Gmpf51L7Opfa17nUvs6l9nUuta9zpbZ9DQMmTjS3n33WC19frfiTGq7w+b2T41v6UzUMg759+zJ//nzWrFlDsWLF0vQ6u3fvJn/+/OmcTlyJY2YaxyQRIiIiIq5i/Xr4809zRuDOna1OI85iaY9Tnz59mDVrFt9//z1BQUGcOnUKgOzZsxMQEADAoEGDOHHiBNOmTQNg9OjRFC1alAoVKhAXF8eMGTOYN28e8+bNs+x9iPNVqwY1asDOnTBtGrzyitWJREREREyOKci7djWLJ/FMlvY4jRs3joiICBo2bEj+/PmTLnPmzEnaJzw8nGPHjiXdjouL49VXX6Vy5crUq1ePTZs28eOPP9K+fXsr3oJkIMfq2xMmmF3iIiIiIlY7dw4cf793fFcRz2Rpj1Nq5qWYMmVKstuvv/46r7/+upMSiSt77DHo3x/++MPsEm/Y0OpEIiIiktlNnQpxcVC9Otx3n9VpxJl05pq4jaAg6NLF3HZ0iYuIiIhYxTCufSdRb5PnU+EkbsXxS2nePLNrXERERMQqGzaYI2GyZtWkEJmBCidxK45u8Lg4c5IIEREREas4epu6dDFHxohnU+EkbscxNfmXX2qSCBEREbHGuXMwd6657fhuIp5NhZO4nc6dzak+//gD1q61Oo2IiIhkRpMnmyNg7rvPHBEjnk+Fk7idoCB4/HFze9w4a7OIiIhI5pOYaI58AXj+eWuzSMZR4SRu6bnnzOuFCyE83NIoIiIiksmsWgV//QXBwZoUIjNR4SRuqUoVqF0b4uNh4kSr04iIiEhm4hjx8uST5ox6kjmocBK35eganzABEhKszSIiIiKZwz//wKJF5rZjBIxkDiqcxG098gjkzg3Hj8OPP1qdRkRERDKDr74yz3GqXx8qVLA6jWQkFU7itrJkgaeeMrc1SYSIiIg4m91uFk6gSSEyIxVO4tYc6yYsXw6HD1ubRURERDzbokXmpFQhIdC+vdVpJKOpcBK3VrIkhIaaC+E6pgUVERERcQbHCJennwY/P2uzSMZT4SRuz9FVPmkSxMZam0VEREQ80x9/wOrVYLNBr15WpxErqHASt9eqFRQsCOfOwdy5VqcRERERTzR+vHndogUULWppFLGICidxez4+0LOnua1JIkRERCS9RUfDlCnmtiaFyLxUOIlHeOYZ8PaGn36CffusTiMiIiKe5Ntv4eJFKFIEwsKsTiNWUeEkHqFAAWjTxtx2dKWLiIiIpAfHiJZevcw/1ErmpMJJPIaj63z6dLhyxdosIiIi4hl274Zt28DX15xNTzIvFU7iMRo3hlKl4PJlmDnT6jQiIiLiCRy9Te3bQ9681mYRa6lwEo/h5QXPPWdujxtnru0kIiIiklYREdf+GKtJIUSFk3iU7t0hSxb45RfYssXqNCIiIuLOZszwIioKypWD+vWtTiNWU+EkHiVXLujc2dweO9baLCIiIuK+EhPhiy/Mr8p9+pgL30rmpsJJPE7fvub13Llw6pS1WURERMQ97d2bhz//tBEUBE8+aXUacQUqnMTj3Hcf1K4NdjtMnKiPuIiIiNy5JUuKAdCtGwQFWRxGXIK+VYpHcvQ6ffWVF/Hx6lsXERGR1Dt6FHbuzAeYw/REQIWTeKgOHSAkBE6etLFtW36r44iIiIgbmTDBi8REG40bJ1K2rNVpxFWocBKP5O9vru4N17raRURERG4nJgYmTTK/Ij//fKLFacSVqHASj/Xss+DtbfDbb/ewb5/VaURERMQdzJkD58/byJMnipYttSikXKPCSTxWwYLQpo35C2/8eH3URURE5PY+/9y8Dgv7Gx8fa7OIa9G3SfFoji72mTO9uHTJ2iwiIiLi2rZvhx07wM/PoGnTo1bHERejwkk8Wv36BoULRxIVZWPqVKvTiIiIiCsbO9a87tTJIHv2OGvDiMtR4SQezWaDFi2OAGbXe6LO8RQREZEbOHvWPL8JoHdvfWGQlFQ4icdr0OA4wcEGf/4JK1danUZERERc0ddfQ1wc1KwJNWpoUghJSYWTeLyAgASefNL8y5HjhE8RERERh/h4GDfO3O7b19os4rpUOEmm8OyzZuG0eDEcOWJxGBEREXEpixfD8eNwzz3QqZPVacRVqXCSTKFMGQgNBcO49hclEREREbg2KUTPnpAli7VZxHWpcJJMo08f8/rrryE62tosIiIi4hoOHIDVq8HLC557zuo04spUOEmm0bIlFC0KFy/CrFlWpxERERFXMGaMef3ww1C4sLVZxLWpcJJMw9v7Wq/Tp5+aw/ZEREQk87p0iaR1Hvv1szSKuAEVTpKpPP00BAbCvn2wbp3VaURERMRKEydCVBRUrgwNG1qdRlydCifJVHLmhG7dzO3PPrM2i4iIiFgnIeHapBD9+oHNZm0ecX0qnCTTeeEF8/r77zU1uYiISGb1ww/w99+QOzd06WJ1GnEHKpwk0ylX7trU5I6/NImIiEjm8umn5nWvXhAQYG0WcQ8qnCRTevFF83riRLhyxdosIiIikrH27jXPdfb2ht69rU4j7kKFk2RKYWFQqhRERMC0aVanERERkYzk6G3q0AEKFrQ2i7gPFU6SKXl5XTvX6bPPIDHR2jwiIiKSMc6dg5kzzW3HCBSR1FDhJJlW9+4QHAwHD8LKlVanERERkYwwYQLExkKNGlC7ttVpxJ2ocJJMKygIevQwtx1d9iIiIuK57Hb44gtz+8UXNQW53BkVTpKp9e1r/tJcutTseRIRERHPNW8enDgBefPCI49YnUbcjQonydRKlIBWrcztMWOszSIiIiLO9dln5vXzz4O/v7VZxP2kqXA6fvw4//zzT9Lt7du389JLLzFhwoR0CyaSURwnhk6ZYs6yJyIiIp5nxw7YsgV8feG556xOI+4oTYVTly5dWLt2LQCnTp2iWbNmbN++ncGDB/P222+na0ARZ2vcGCpUgKtXYdIkq9OIiIiIMzjOZ37sMXOonsidSlPh9Ouvv1KrVi0Avv32WypWrMjmzZuZNWsWU6ZMSc98Ik5ns0G/fub2mDGQkGBtHhEREUlf4eHw7bfmtqYgl7RKU+Fkt9vx/3dg6KpVq3j44YcBKFu2LOHh4emXTiSDPP445MoFR47A4sVWpxEREZH0NG6cOaNe3bpQvbrVacRdpalwqlChAuPHj2fjxo2sXLmSsLAwAE6ePEnu3LnTNaBIRggMhF69zO1PPrE2i4iIiKSf6GizcAL1NsndSVPh9L///Y8vv/yShg0b0rlzZ6pUqQLAokWLkobwibibvn3BxwfWr4eff7Y6jYiIiKSHGTPg3DkoWhTatbM6jbgzn7Q8qWHDhpw7d47IyEhy5syZdH+vXr0IDAxMt3AiGenee80TRmfMMHudZsywOpGIiIjcjcTEayNJXnzR/AOpSFqlqccpOjqa2NjYpKLp6NGjjB49moMHDxISEpKuAUUy0ssvm9dz5sB1M+6LiIiIG1q+HA4cgOBg6NHD6jTi7tJUOLVp04Zp06YBcOnSJe6//34++ugj2rZtyzjHINJUeP/996lZsyZBQUGEhITQtm1bDh48eNvnrV+/nurVq5MlSxaKFy/O+PHj0/I2RFK47z5o2BDi42HsWKvTiIiIyN34+GPzumdPs3gSuRtpKpx27dpFvXr1AJg7dy558+bl6NGjTJs2jc8cSzKnwvr16+nTpw9bt25l5cqVxMfHExoaytWrV2/6nCNHjtCiRQvq1avH7t27GTx4MP369WPevHlpeSsiKTh6nb78Eq5csTaLiIiIpM3evbBqFXh5wQsvWJ1GPEGaRnpGRUURFBQEwIoVK2jfvj1eXl488MADHD16NNWvs2zZsmS3J0+eTEhICD///DP169e/4XPGjx9P4cKFGT16NADlypVj586djBo1ig4dOqTl7VgnMQGvA+/jY5S0Oolcp1UrKFkSDh2CKVPMSSNERETEvTjOberYEYoUsTaL/MeVwxS1LwFaWJ3kjqSpcCpZsiQLFy6kXbt2LF++nJf//RP9mTNnCL6LftCIiAgAcuXKddN9tmzZQmhoaLL7mjdvzsSJE7Hb7fj6+iZ7LDY2ltjY2KTbkZGRgLkWld1uT3PW9OD123C8979LA1sB4i+UhVyVLM3jiRw/4zv9Wffr50W/ft6MHm3wzDPxeHs7I537S2v7SuqofZ1L7etcal/nUvveWng4zJzpA9jo1y8eu924o+erfZ3HdmoFPlufoIr9IrFHG2EvYm3Hx538jG2GYdzZJwlzeF6XLl1ISEigcePGrFy5EjDPWdqwYQNLly6905fEMAzatGnDxYsX2bhx4033K126NN27d2fw4MFJ923evJm6dety8uRJ8ufPn2z/YcOGMXz48BSvM2vWLMtnAMyRcIiasR8QaJwjnizs8n+RcJ/almYSU0yMN888E8qVK34MHLiNBx44ZXUkERERSaWZM8vy3XdlKFv2PB98sMnqOAJgGJSyz6OcfSY2DC54lWaH/wBivKxdAzYqKoouXboQERFx2w6gNBVOAKdOnSI8PJwqVarg5WWeKrV9+3aCg4MpW7bsHb9enz59+PHHH9m0aRMFCxa86X6lS5fmqaeeYtCgQUn3/fTTTzz44IOEh4eTL1++ZPvfqMepUKFCnDt37q56x9KL/cpJri5vRZ7EXwFIKPs6iRWHg01dHOnBbrezcuVKmjVrlqI38nbefNOLkSO9efDBRNasSXBSQvd2N+0rt6f2dS61r3OpfZ1L7Xtz0dFQvLgP58/b+OabeNq3v/OvumrfdGa/jPeOZ/A6sQCA+CJPsfRsC5qEtrC8fSMjI7nnnntSVTileTb7fPnykS9fPv755x9sNhv33ntvmhe/feGFF1i0aBEbNmy4ZdHkOO6pU8n/+n/mzBl8fHzInTtlxerv74+/v3+K+319fS3/QQGQrQBbsgynZcGNeP8xGu/fR+Id8QvUmQX+Nx+yKHcmLT/vF180x0dv2uTFL794UaOGk8J5AJf59+Sh1L7OpfZ1LrWvc6l9U5o8Gc6fh2LFoGNHn7sabq/2TQeRf8DGdhCxH7x8ocZYjCJPkbhkiUu0750cP02z6iUmJvL222+TPXt2ihQpQuHChcmRIwcjRowgMTEx1a9jGAZ9+/Zl/vz5rFmzhmLFit32ObVr104aGuiwYsUKatSoYXnDp5Vh8yaxykioMxO8AyB8OSyvCRf3Wh0tUytQwFwQF66dYCoiIiKu678L3uocZYudWGx+p43YDwEFoOkGKNnL6lRplqbC6Y033mDs2LF88MEH7N69m127dvHee+8xZswY3nrrrVS/Tp8+fZgxYwazZs0iKCiIU6dOcerUKaKjo5P2GTRoEE8++WTS7eeee46jR4/Sv39/Dhw4wKRJk5g4cSKvvvpqWt6KaynaBUK3QNZicOUwrKgNf39jdapMzTE1+bffwvHj1mYRERGRW1u2DH7/XQveWs5IhH3DYX1rsEdCngch7Ge45wGrk92VNBVOU6dO5euvv+b555+ncuXKVKlShd69e/PVV18xZcqUVL/OuHHjiIiIoGHDhuTPnz/pMmfOnKR9wsPDOXbsWNLtYsWKsWTJEtatW0fVqlUZMWIEn332mftNRX4zOatA2E7IFwoJUbC5M+x6FRLjrU6WKVWrpgVxRURE3MX1C97+u3KOZLS4CNjQFvYNM2+X7guNV0NAvls9yy2k6RynCxcu3HACiLJly3LhwoVUv05q5qW4USHWoEEDdu3alerjuB3/XNBwCex9E/Z/AL9/BBd3Q905kOUeq9NlOv37w7p15oK4b70F2bJZnUhERET+65dfYPVqc3ieFry1SMR+2NAOLv8BXv5Q60so3s3qVOkmTT1OVapUYewN/vw+duxYKleufNehBPDyhqrvw4PfgU9WOL0GllWHCx5cMLqoli2hVCmIiIBJk6xOIyIiIjfi6G3SgrcWOT4flt9vFk2BhSH0J48qmiCNPU4jR46kZcuWrFq1itq1a2Oz2di8eTPHjx9nyZIl6Z0xcyvcEYLLmbORXP4TVtaFml9C8Sdv/1xJF15eZq/T88+bJ5z27g0+aZ6PUkRERNLbP//ArFnmdv/+1mbJdBITYO9bsP9983beRv+OkspjbS4nSFOPU4MGDfjjjz9o164dly5d4sKFC7Rv357ffvuNyZMnp3dGyVEBmm+HAi0hIQa2doOd/SBRq1lnlG7dIE8e+PtvmDvX6jQiIiJyvU8/Nc9HbtAA0rg6jqRF7AVY3/Ja0VT2FWi0wiOLJkhj4QRQoEAB3n33XebNm8f8+fN55513uHjxIlOnTk3PfOLglwMaLIKKQ8zbf4yB1U0g+rSlsTKLgADo29fcHjkS0rZstIiIiKS3iAjzPGSA116zNkumcvEXWFbDXEbHO8Bcg/S+UeDlucNy0lw4iQVsXlB5ONT/HnyC4OxG87ync9usTpYp9O5tFlC7d8OaNVanERERETCLpsuXoXx5eOghq9NkEn/PNpfNuXrEXEYndAsU7Wx1KqdT4eSOCj4MYTsguCxEn4BV9eHQ11an8nj33ANPP21uf/ihtVlEREQE4uLMYXpg9jZ56ZutcyXGw65XYHMXSIg2l88J22kup5MJ6OPlroLLQPNtULAdJMbB9p6w/VlIiLU6mUfr39/8pbx8Oezda3UaERGRzG3WLDh5EgoUgC5drE7j4WLOwtrm8Pu/0xeWH2Qun+Ofy9pcGeiOBiG2b9/+lo9funTpbrLInfINhnpzzbWefnkTDk2Ai3vN+wLvtTqdRypWzJzm9NtvzV6n6dOtTiQiIpI5JSZeGwHy4ovg52dtHo924WfY0B6ijpnL5DwwFQp3sDpVhrujHqfs2bPf8lKkSBGefFLTZGcomxdUGAwNfwTfHHB+q3ne05lNVifzWI4TT7/5Bo4ftzaLiIhIZrV0KezfD0FB8OyzVqfxYIenwoq6ZtEUVApCt2XKognusMdJU427sAIPmWNMN7aDS/tgdSOoPhpK9Qabzep0HqVGDWjUCNauhdGj4aOPrE4kIiKS+Th6m559FrJntzaLR0q0w67+8MdY83aBVlBnujnTcyalc5w8SVAJc1aTIo+BEQ87+8LWpyA+2upkHsfR6zRhAmiEqoiISMbavh3WrzcXpH/xRavTeKDoU+ayN46iqeJQaPB9pi6aQIWT5/HJas6jX22UOYzvyFRYVQ+uHrM6mUcJC4OKFeHKFRg/3uo0IiIimYujt6lLFyhY0NosHufcv6d9nN1onk9f/3uoPMz8XpnJqQU8kc0G5f5dudk/t3lC37LqcHqt1ck8hs0Gr75qbn/6KcRqMkMREZEM8ddfMH++ue34v1jSyaGvYFUDiD4JweWg+XZzGRwBVDh5tnxNIOxnyFkNYs/BmmZw4GMwDKuTeYTOneHee+HUKZg50+o0IiIimcPHH5sz6oWFQaVKVqfxEAmx5rI223uZy9wUam8uexNcxupkLkWFk6fLWgSa/QRFnwAjAXa/Apu7QnyU1cncnp8fvPSSuT1qlPlLXERERJzn7FlwzFX2+uvWZvEYUSdgVUNzWRtsUOU9eHAu+AZZnczlqHDKDHwCoPZUqP4Z2Hzg6GxYURuuHLY6mdvr1QuCg+HAAfjxR6vTiIiIeLbPP4foaKheHRo2tDqNBzizyTyd4/xW8MtpLmhbYZBmZL4JFU6Zhc0GZV6AJqshSwhc2gvLakD4CquTubXg4GtrR/zvf9ZmERER8WRXr8KYMeb2a6/pu/1dMQz443Nz+ZqY05CjEjTfAQXCrE7m0lQ4ZTYh9c3znnLXgriLsO4h2P8/nfd0F156yRy299NPsHGj1WlEREQ801dfwYULUKIEdMic66+mj/hoc7manX3N5WuKPGYuZxNUwupkLk+FU2YUWBCaboASz4CRCHsGwqZOYL9idTK3VKAAdO9ubr//vqVRREREPFJc3LUF519/3Vy/SdLg6jFzmZojU83pxat9ZC5j45PV6mRuQYVTZuXtD/d/BbW+BC9fOD4XVjwAkX9ancwtvfYaeHnB0qWwZ4/VaURERDzLjBnwzz+QPz9062Z1Gjd1eq15PtOFn83lahqtgHL9NebxDqhwyuxK9oIm6yEgP0T8BstrwgnNcnCnSpaERx4xt3Wuk4iISPpJSICRI83tl18Gf39r87gdwzCXo1nTzFyeJmc187SNfE2sTuZ2VDgJ5Klt/gPKUxfsEbC+Nex72xzGJ6k2cKB5/e23cOiQtVlEREQ8xcKFcPAg5MgBzz1ndRo3Ex9lLkOz+xVzWZqiT5jL1GQtYnUyt6TCSUwB+aHxGijVBzBg31DY0A7iIqxO5jaqVoWHHjLXc/rwQ6vTiIiIuD/DuHb+cN++EKSlhVLvymFz+Zmjs83laKp/Zi5P4xNgdTK3pcJJrvH2g5pj4YHJ4OUPJxbB8loQccDqZG5j0CDzesoUCA+3NIqIiIjbW70afv4ZAgKgXz+r07iRk8vNZWcu7TWXoWmy2lyWRucz3RUVTpJS8e7QbBMEFoLLf5jF0/H5VqdyCw8+CHXqmLP/fPKJ1WlERETcm6O36ZlnIE8ea7O4BcOA3943l5uJuwi574ewXeZyNHLXVDjJjeWuYZ73FNIQ4q/Axg7wyxuQmGB1Mpdms13rdRo3Di5etDaPiIiIu9q+HdasMacef/VVq9O4Aftl2PQI/DIYMKBET2i6HgLvtTqZx1DhJDeXJQ80Xgll+5u3f3sP1rcy/4IhN9WyJVSqBFeuwOefW51GRETEPTl6m7p2hcKFrc3i8iL/MJeVOT7PXGam1pdw/wRz+RlJNyqc5Na8fOC+j6DOTPAOgPBl5pjZi3utTuaybLZrM+x9+ilERVmbR0RExN0cOGDOpgcwYIClUVzficXmcjIR+yGggLnMTMleVqfySCqcJHWKdoHQLZC12HWztMyxOpXL6tQJihWDc+dg4kSr04iIiLgXx5qIbdtCuXKWRnFdRiLsG24uI2OPhDwP/ru8TG2rk3ksFU6SejmrQNhOyBcKCVHw02Ow+zVIjLc6mcvx8YHXXjO3R40Cu93aPCIiIu7i2DGYOdPcdpw3LP8RFwEb2sK+YebtUn2g8WoIyGdlKo+nwknujH8uaLgEyv87Fu3AKFgbBjHnrM3lgp56CvLmNf8DmDXL6jQiIiLuYdQoiI+Hxo2hVi2r07igiP3mjMcnfjCXj3lgirmcjLef1ck8ngonuXNe3lD1fXjwO/DJCqdXw7LqcGGX1clcSpYs8PLL5vb770OCJiQUERG5pdOn4auvzG3H+cJynePzYfn95nIxgYUg9Cco3s3qVJmGCidJu8IdIXQbBJWCqGOwsi4cnmZ1Kpfy/POQMyccPAjz5lmdRkRExLV9/DHExJg9TU2bWp3GhSQmmMvCbOxgLhMT0tA8fSJXdauTZSoqnOTu5KgAzbdDgZaQEANbu8HOfpCok3oAgoPhxRfN7XfegcREa/OIiIi4qvPnry3j8dZb5iy1AsRegPUtzWVhwFwmpvFKyBJiba5MSIWT3D2/HNBgEVQcYt7+YwysbgLRpy2N5Sr69YOgINi3D374weo0IiIirunTT+HqVaha1VwTUYCLv5hTjYcvN5eFqTPTXCbGy8fqZJmSCidJHzYvqDwc6n8PPkFwdqN53tO5bVYns1zOnNC3r7k9YgQYhrV5REREXE1EBHz2mbn95pvqbQLg79nm8i9XDpvLwYRuMZeHEcuocJL0VfBhCNsBwWUh+gSsqg+HvrY6leVefhkCA+Hnn2HZMqvTiIiIuJYxY8ziqXx5aNfO6jQWS4yHXa/A5i6QEG0uAxO201wWRiylwknSX3AZaL4NCraFxDjY3hO2PwsJsVYns0yePPDcc+a2ep1ERESuuXIFPvnE3H7jDfDKzN9OY87C2ubw+8fm7fIDzWVg/HNZm0sAFU7iLL7BUG8eVH4HsMGhCbCqIUSdtDqZZV59Ffz9YcsWWLvW6jQiIiKuYdw4uHABSpaETp2sTmOhCz/Dshpweo253MuD35nLv3h5W51M/qXCSZzH5gUV34CGP4JvDji/FZbdB2c2WZ3MEvnzwzPPmNvvvGNtFhEREVcQHW0ueAsweDD4ZNY5Dw5PhRV1zeVdgkqZy70U7mh1KvkPFU7ifAUeMs97yl4RYk7D6kbwxxeZcrzagAHg62v2OP30k9VpRERErPXVV3DmDBQpAo8/bnUaCyTaYecLsLU7JMaay7s0324u9yIuR4WTZIygkuZsMIU7gREPO/vAth7m2k+ZSKFC0L27ua1eJxERycxiY2HkSHN74EDzD4uZSvQpc/mWP8aatysOMZd38cthaSy5ORVOknF8s0Hdb6Dah+YwvsNTYOWDcPWY1cky1MCB4O1tzq63Y4fVaURERKwxZQqcOAEFClz7o2KmcW6ruWzL2Y3mMi71vzeXdbHpq7kr009HMpbNBuVehUbLwT/3vydCVofTmWe2hOLFoWtXc1u9TiIikhnZ7fDBB+b2669DlizW5slQh76CVQ0g+qS5fEvYDnM5F3F5KpzEGvmaQvOdkLMaxJ6DNc3gwMeZ5rynQYPMGnLRIvjlF6vTiIiIZKyZM+HvvyEkBHr2tDpNBkmINZdn2d7LXK6lYDtz+ZbgMlYnk1RS4STWyVYUmv0ERZ8AIwF2vwKbu0J8lNXJnK5s2WtTrqrXSUREMpP4eHjvPXP7lVfMBeI9XtQJc1mWQxMAG1R5F+rNNZdvEbehwkms5RMAtadC9c/A5g1HZ8OK2nDlsNXJnO6NN8zruXPh11+tzSIiIpJRZs+GP/+EXLng+eetTpMBzmwyT0s4v9VcnqXhj1BhsM5nckP6iYn1bDYo8wI0Xg1ZQuDSXnMBuPAVVidzqkqVoOO/SzQMH25tFhERkYwQHw9vv21uv/oqBAVZm8epDAP++NxchiXmNOSoBGE7zWVaxC2pcBLXkbcBhP0MuWtB3EVYGwa/feDR5z0NHWpez50L+/ZZm0VERMTZZs2CQ4cgd27o29fqNE4UHw1bn4Kdfc1lWAo/ai7LElTC6mRyF1Q4iWsJLAhN10OJpwEDfhkEmzqB/bLVyZyiYkV45BFzW71OIiLiyeLjYcQIc/u11zy4t+nqMVhVD45MNYfjVRsFdWeDT1ark8ldUuEkrsc7C9T6CmqOBy9fOD4XVjwAkX9Yncwphg41RyvOmwd791qdRkRExDlmzjR7m+65B/r0sTqNk5xea57PdOFn8L8HGq2Ecq+Y/9GL21PhJK7JZoNSz0KT9RCQHyL2w/KacGKx1cnSXYUK12bYU6+TiIh4ov/2NmXLZm2edGcY5rIqa5qZy6zkvM88nylfY6uTSTpS4SSuLU9t87yne+qAPRLWt4Z9w8FItDpZuhoyxKwV58/Xuk4iIuJ5ZsyAv/7y0N6m+ChzOZXdr5jLqxR7EpptgqxFrE4m6UyFk7i+gPzQZC2U6m3e3jcMNrSFuAgrU6Wr8uXh0UfNbfU6iYiIJ7Hbr/U2vf46ZPWkU32uHDaXUTk6G2w+UH0MPDDFXG5FPI4KJ3EP3n5Q83O4fxJ4+cOJH2B5LXMIn4d46y2z12nBAtizx+o0IiIi6WP6dDh8GPLkgd69rU6TjsJXmMunXNprLqfSZA2U6avzmTyYCidxLyWeMru/AwvB5T9g+f1wfL7VqdJF+fLw2GPmtnqdRETEE9jt8M475rbH9DYZhrlcytowc/mU3LXM0wpC6lmdTJxMhZO4n9w1zBMuQxpC/BXY2AF+eQMSE6xOdtccvU4LF8Lu3VanERERuTvTpsGRIxASAs8/b3WadGC/bC6T8ssgwIASPaHpBnM5FfF4KpzEPWUJgcYroczL5u3f3oP1rcy//LixcuWgc2dzW71OIiLizq7vbRowwAN6myL/NJdHOT7XXC6l1pdw/wTw9rc6mWQQFU7ivrx8oPrHUGcmeAdA+DJzrPFF914M6a23wMsLvv8edu2yOo2IiEjaTJ0Kf/8NefPCc89ZneYunVhsLosSsR8CCpjLpZTsZXUqyWCWFk4bNmygdevWFChQAJvNxsKFC2+5/7p167DZbCkuv//+e8YEFtdUtAuEboGsxa6b3WaO1anSrGzZa71Ow4ZZGkVERCRN4uLg3XfN7QEDIDDQ2jxpZiTCvrfN5VDsEZDnQfN8pjy1rU4mFrC0cLp69SpVqlRh7Nixd/S8gwcPEh4ennQpVaqUkxKK28hZ5d+F5kIhIQp+egx2vwaJ8VYnS5MhQ8xepx9+gG3brE4jIiJyZyZONHub8uVz394mH+Mq3ps7wr6h5h2l+kDj1RCQz9pgYhlLC6eHHnqId955h/bt29/R80JCQsiXL1/Sxdvb20kJnSshMYEPfvqAqIQoq6N4Bv9c0HAJlB9o3j4wCu+NrfAzIq3NlQalS8OTT5rbb71lbRYREZE7ER197dymN96AAHdc0ihyPw2iX8Pr5GJzGZQHJkPNsebyKHLXjlw6wtJzS62Occd8rA6QFtWqVSMmJoby5cvz5ptv0qhRo5vuGxsbS2xsbNLtyEjzS7Tdbsdutzs9660M3zCcdze9y73+91L2VFkq5qtoaR6PUeFtbNmr4L39GbzOrKGBbR/xZ4tDnlpWJ7sjgwfDzJk+rFxpY/XqeOrXN6yOlILj35DV/5Y8ldrXudS+zqX2dS5Xbt+xY704edKbwoUNunePxwUj3pLtnwX47HgaX+MKiQEFSazzHUau6rjdG3FRKw+v5ImFT3Ah5gKN9jeiffk760BJb3fyb8hmGIZLfBuz2WwsWLCAtm3b3nSfgwcPsmHDBqpXr05sbCzTp09n/PjxrFu3jvr169/wOcOGDWP4DaYnmzVrFoEWD7g9FHWID458wDn7OQK8Anix8Is8kOMBSzN5kqDEY9SK+YBsxkkS8GOP3/P843vzItsVffllZZYuLUa5cud5771NWlNPRERcWnS0D88+25TISH/69t1N06bHrI6UekYC5eyzKG2fB8BZr4rszPIacbbsFgfzDIZhMP/MfGaGzySRREoFlmJA0QHc43ePpbmioqLo0qULERERBAcH33JftyqcbqR169bYbDYWLVp0w8dv1ONUqFAhzp07d9vGyQgnLp2g9bTW/HrlVwAG1hnI0PpD8fZyz+GHrsZ+9SyRy9uQL2EnAAkl+5JY5X/mNKJu4ORJKFvWh5gYG4sWxRMW5hL/XJPY7XZWrlxJs2bN8PV1jzZ1J2pf51L7Opfa17lctX3fe8+LYcO8KVnSYO/eeHzcZWxT3AW8tz6J1+kVANhLvMDS8IY0DQ1zqfZ1V5djL9Pzx57M/30+AN0rd6clLWnRvIXl7RsZGck999yTqsLJXT7ON/XAAw8wY8aMmz7u7++Pv3/K+fV9fX0t/0EB3JvjXoaXGM4G/w18uv1TPtj8Ab+c+YWZ7WeSMyCn1fHcX9Y8bPMfTKuiP+O9/128D43FO3Iv1P0WAvJane62ihSBPn3go49g2DAfWrXCJXudXOXfk6dS+zqX2te51L7O5Urte/EifPKJuf322zYCAlwj121d/AU2tjdn5vUOgPu/hnsfwViyxKXa1139ef5P2s5py/6z+/H18mVsi7E8VfkplrhI+97J8d1+Hafdu3eTP39+q2PcFW+bNx82/ZCZ7WcS4BPA0kNLqflVTfad3md1NM9g8yKxwlCo/z34BMGZDbCsOpzbbnWyVBk4ELJlM9d0mj/f6jQiIiI39uGHEBEBlSrBo49anSaV/p5tLmNy5bC5rEnoFnOZE0kXi/9YTM2varL/7H7yZ8vP+u7r6VXdfde/srRwunLlCnv27GHPnj0AHDlyhD179nDsmDkedtCgQTzpmFoMGD16NAsXLuTPP//kt99+Y9CgQcybN4++fftaET/ddanUhc1Pb6ZojqL8dfEvHpj4AHN+dd/1iFxOwYchbAcEl4XoE7CqHvw10epUt3XPPfDyy+b2kCGQkGBtHhERkf86cwY+/dTcHjHCXFLDpSXGw65XYHMXSIg2lzMJ22kubyJ3LdFI5O31b9N6dmsiYiOoW6guP/f6mdqF3Hv9K0s/1jt37qRatWpUq1YNgP79+1OtWjWGDBkCQHh4eFIRBRAXF8err75K5cqVqVevHps2beLHH3+84+nMXVnVfFXZ2XMnzYo3I8oexWPzHuP1la8T76brEbmc4DLQfBsUbAeJcbDtGdj+HCTE3v65FnrlFciZE/bvh9mzrU4jIiKS3PvvQ1QU1KwJDz9sdZrbiDkLa5vD7x+bt8sPMpcz8c9lbS4PERETQbs57Ri6zlz/qk/NPqzptob8Qe49QgwsLpwaNmyIYRgpLlOmTAFgypQprFu3Lmn/119/nUOHDhEdHc2FCxfYuHEjLVq0sCa8E+UOzM3Srkt5vc7rAHy4+UPCZoRxLuqcxck8hG8w1JsLVd4FbHDoS1jVEKJOWp3sprJnh9fNjwNDh2pGVBERcR3//APjxpnb77zjmufiJrnwMyyrAafXgE9WeHAuVH0PNClXujhw9gC1vq7FooOL8Pf2Z3KbyYxtMRY/D1n/ytU7UjMtby9v/tfsf8zpOIesvllZfWQ1NSbUYFf4LqujeQabF1QYDA1/BN8ccH4rLLsPzmyyOtlNvfAC5M0Lhw/D5MlWpxERETGNGAGxsVC/PjRrZnWaWzg8FVbUhahjEFQKQrdB4Q5Wp/IY8w/Mp9bXtfjj/B8UCi7Eph6b6F61u9Wx0pUKJxfXqUIntj6zlRI5S3A04ih1J9Vl+i/TrY7lOQo8ZI5pzlEJYk7D6kbwxxfgGrP0J5M1q7koLpj/ScXEWJtHRETkr79g0iRz+913XbS3KdEOO1+Ard0hMRYKtILm2yFHBauTeYSExATeWP0GHb7twJW4KzQs2pCdvXZSo0ANq6OlOxVObqBiSEV29NxBi1ItiImP4cmFT/Li0hexJ2i8VroIKmHOolP4UTDiYWcf2NYDElyvMnn2WShUyBwWMX681WlERCSzGzYM4uMhLAwefNDqNDcQfQpWN4E/xpq3Kw6FBt+DXw5LY3mKi9EXaTW7Fe9teg+Alx94mZVPrCQka4jFyZxDhZObyBmQkx86/8Bb9d8C4LPtn9F0elNOXzltcTIP4ZMV6s6Gah+aw/gOT4GV9eCqa6147u8Pb5kfAd57Dy5ftjaPiIhkXr/9BjNnmtvvvGNtlhs6t9VcfuTsRvP85vrfQ+Vh5v/zctf2nt5Lja9qsOzQMgJ8ApjZfiYfN/8YHy+3Xyb2pvTJcSNeNi/ebvQ2Cx5dQJBfEBuObqD6hOpsP+Ee6xG5PJsNyr0KjZaDf264sNP8hXt6rdXJkuneHUqVgrNn4eOPrU4jIiKZ1aBB5sj29u2henWr0/zHoa9gVQOIPgnB5cyheQVdfbo/9zHn1znUnlibwxcPUyxHMbY8vYUulTx//SsVTm6obdm2bO+5nTK5y3Di8gnqTa7HxF2uvx6R28jXFJrvhJzVIPYcrGkGv3/iMuc9+fqa48gBRo0y184QERHJSJs2wQ8/gLe3OQLCZSTEwvZnYXsvc9mRQu3NZUiCy1idzCPEJ8bz2orXeGzeY0TZowgtEcrOXjupki9zrH+lwslNlb2nLNt7bqdt2bbEJcTxzA/P8Nzi54iNd+31iNxGtqLQ7Cco+gQYCbCrP2x+HOKjrE4GQMeOUKMGXLlyrYgSERHJCIYBAwea2z16QBlXqUmiTpjLixyaANigynvmdOO+QVYn8wjnos4RNiOMUVtGATCw7kCWdFlCroDMs/6VCic3FuwfzLxO8xjRaAQ2bHz585c0mtqIk5dddz0it+ITALWnQvXPwOYNR2fBijpw5bDVybDZ4IMPzO1x48wpykVERDLCDz/ATz9BQIC5tqBLOLPRHF5/fqu5zEjDJVBhkItO8+d+doXvosaEGqw+spqsvln57pHveL/p+3hnsvWvVDi5OS+bF2/Wf5PFXRaTI0sOtvyzheoTqvPTsZ+sjuYZbDYo8wI0WQNZQuDSL+bCeeErrE5GkyYQGmouhjtkiNVpREQkM0hIMM9tAnjxRbj3XmvzYBhwcCysbmwuK5KjkrnMSIEwi4N5jmm/TKPupLocjThKqVyl2PbMNjqW72h1LEuocPIQLUq1YEfPHVQMqcipK6doOLUhX+z4AsNFzstxeyH1IexnyF0L4i7C2jD47QPLz3ty9DrNnAl79lgaRUREMoFp02D/fsiZEwYMsDhMfLS5NtPPL5jLiRR5zFxeJKiExcE8gz3BTr+l/ei2sBsx8TG0LNWS7T23UyEk865/pcLJg5TMVZItT2+hU4VOxCfG02dJH55e9DQx8a63HpFbCiwITddDiacBA34ZBJs6gd26OcGrVYPOnc1tx18ARUREnCEm5trQvMGDIUcOC8NcPQorH4Qj08zpxauNgjqzzOVF5K6dvnKaptObMmb7GACG1B/Cos6LyJElh7XBLKbCycNk88vGNx2+YWTTkXjZvJi8ZzL1JtfjeMRxq6N5Bu8sUOsrqDkevHzh+FxY8QBE/mlZpBEjwMcHli2Dta41c7qIiHiQzz+H48fNhdj79rUwyKk15rD5i7vM5UMarYByr+h8pnSy7Z9tVJ9QnQ1HNxDkF8T3j33P8EbD8dL6VyqcPJHNZuO1uq+x/PHl5ArIxc6TO6k+oTrr/l5ndTTPYLNBqWehyXoIyA8R+2F5DTix2JI4JUrAs8+a2wMHWj56UEREPNClS9dmcR0+HLJksSCEYcCBj2FtM3O5kJzVzGH0+ZpYEMYzfb3ra+pPqc+Jyycoe09ZdvTcwcNltP6VgwonD9a0eFN+7vUzVfNV5WzUWZpOa8qnWz/VeU/pJU9t8xf2PXXAHgnrW8O+t8FIzPAob70FWbPC9u0wf36GH15ERDzcyJFw8SKULw9PPmlBgPirsLkL7H7F/H+22JPmsiFZi1gQxvPExsfy7A/P0vOHnsQlxNGubDu2PbONMve4ylzzrkGFk4crmqMoP/X4iccrP06CkcBLy1/iiQVPEGV3jfWI3F5AfmiyFkr1Nm/vGwob2kFcRIbGyJsXXnnF3B48GOLjM/TwIiLiwU6ehNGjze333zcXvc1QVw6by4Ec/QZsPuYyIQ9MMZcNkbt28vJJGk5tyIRdE7Bh493G7zK301yC/YOtjuZyVDhlAoG+gUxrO41Pwz7F2+bNzH0zqTupLkcuHrE6mmfw9oOan8P9k8DLH04sguW1zCF8GeiVV+Cee+CPP2DSpAw9tIiIeLDhwyE6GurWhdatM/jgJ5eb5zNd2msuC9JktblMiM5nShebjm3ivi/vY+s/W8mRJQc/dvmRwfUG63ymm1CrZBI2m41+9/dj9ZOryROYhz2n9lDjqxqs+Mv69Yg8RomnoNkmCCwEl/+A5ffD8YwbNxccbA7ZAxg2DK5ezbBDi4iIhzp4ECZONLc/+CAD6xXDgN/eh3UPmcuA5L4fwnaZy4PIXTMMgy92fEGjqY04ffU0lUIqsbPnTh4q9ZDV0VyaCqdMpkHRBux6dhe17q3FhegLPDTzIf636X867ym95K5hLrwX0hDir8DGDrBnMCQmZMjhn30WihWD8HD4+OMMOaSIiHiwAQPMRW9bt4YHH8ygg9ovw6ZH4JfBgAEleprLgQRavdquZ4iJj6HHoh70WdKH+MR4Hq3wKFue3kKJXFr/6nZUOGVCBYMLsr77ep6u9jSJRiIDVw+k09xOXIm7YnU0z5AlBBqvhDIvm7f3vw/rW0LsBacf2t/fHH8O8L//walTTj+kiIh4qPXr4fvvzXOaRo7MoING/mEu83F8nrnsR60v4f4J4O2fQQE827GIY9SbXI8pe6bgZfPiw2YfMrvDbLL6af2r1FDhlEll8cnCV62/YnzL8fh6+TJ3/1we+PoB/jxv3XpEHsXLB6p/DHVmgncAhC+H5TXh4l6nH7pTJ7j/fnOo3pAhTj+ciIh4oMTEa5MOPfsslC2bAQc9sdj8vzJi/7+TL62Hkr0y4MCZw9oja6k+oTo7T+4kd0Bulj++nFfrvIpN54ulmgqnTMxms/FsjWdZ3309+bPl57ezv1Hzq5r8+MePVkfzHEW7QOhmyFr031mBasPROU49pM0GH31kbk+cCL/+6tTDiYiIB5o9G37+GYKCYOhQJx/MSIR9w81lPeyRkOdB83ymPLWdfODMwTAMPtnyCc2mN+Nc1Dmq5avGzl47aVq8qdXR3I4KJ6F2odr83Otn6hSqQ0RsBK1nt+bt9W+TaMF6RB4pZ1XzvKd8zSAhCn56DHa/BonOmzO8bl3o0MH8i+HrrzvtMCIi4oGio82lLQAGDYKQECceLC4CNrSFfcPM26X6QOPVEJDPiQfNPKLsUTy+4HH6r+hPgpHAE5Wf4KceP1E0R1Gro7klFU4CQP6g/KzttpbeNXpjYDB03VDazWlHREzGrkfksfxzQ8OlUH6AefvAKFgbBjHnnHbIDz4AX19YuhRWrnTaYURExMN8+ikcOwaFCsFLLznxQBH7zeU7TvxgLufxwGSoOdZc5kPu2pGLR6gzsQ6z9s3C2+bNZ2GfMbXtVAJ8tf5VWqlwkiR+3n583vJzJj08CX9vfxYdXMT9X9/PgbMHrI7mGby8oeoH8OC34JMVTq+G5TXgwi6nHK5kSejTx9x+9VVzViQREZFbOXsW3nvP3H7vPQhw1nfs4/PNZTsu/2Eu49FsExTv7qSDZT4r/lpBja9q8MvpXwjJGsLqJ1fzwv0v6Hymu6TCSVJ4qtpTbHxqIwWDC3Lw/EFqfV2LBQcWWB3LcxR+BEK3QraScPUorKwLR6Y75VBvvQU5csDevTBtmlMOISIiHmT4cLh8GapXhy5dnHCAxAT45Q1zuY74K5C3EYT9bC7nIXfNMAz+t+l/PDTzIS5EX6DWvbX4udfPNCjawOpoHkGFk9xQzXtrmv/QijTgStwV2n/bnjfXvElCBq1H5PFyVISwHVCgJSTEwJYnYeeLkGhP18PkynVtUdw33tCiuCIicnO//w7jx5vbo0aBV3p/S4y9AOtbwW//dmmV7Q+NVkCWPOl8oMzpStyV/7d333FV1f8Dx1+XjQxxIZgobhy5wAGKe6BmOVJzm7ssS7Ny9MvR0iw1M3PPXLnKraQoKi7AlQsnLkRxMGTD+f3xMcuvAweXc4H3s8d9eO/l3HPefDjBfd/z+bzfdFzVkeHbh5OupdO3Wl929dpFUceieoeWY0jiJJ7K2c4Z/+7+fFzrYwC+2f0NrZe15m7CXX0DyymsnKD+Oqj0oGZ42FTY0QQSIjP1MIMG/dsU959qe0IIIcT/+qfZ7ZtvQoMGmbzzu8dUqfGILapNh89SqP6jat8hXtnZ22epNacWq06uwtLMkplvzGT2m7OxsbDRO7QcRRIn8UyW5pZM9pvMb21/w9bCls3nNlNjdg2ORx7XO7ScwWAGlcdCvT/BwgFuBsIWT4g6mGmHsLZWhSJANTCMiMi0XQshhMghdu6EdetUs9sJEzJ555eWq3YccRfArgQ02wfunTP5ILnXhrAN1Jhdg5O3TuJq78quXrvo7yn9r4xBEifxXLpW7kpQnyDcndw5f/c8tefW5vcTv+sdVs5R9E01dc/RAxKuwV++cH5upu2+QweoXVua4gohhHjcf5vdDhyYic1u01MhdBgEdVbtOFyaqfYc+apk0gFyt3QtnXG7xtF6WWuik6Kp41aHkP4heLtJ/ytjkcRJPLeqLlUJ7qcapsWnxNNpVSc+8/+MVCP2I8pVHMtB84NQtC2kJ8OBvnBwIKQlvfKu/9sUd948VSxCCCGEAFiyBEJDwdExE5vdJkZBQHM4/eCPT4UR0GATWOfPpAPkbtGJ0bRd0ZbRO9UP7H2v99nRcweuDq46R5azSeIkXkiBPAXY0nULn9dR/YgmBk3E7zc/ouKN148oV7F0AN9VUOUbwADnZsL2hhB//ZV37eOjrjylp6u+HJr2yrsUQgiRzcXFwfDh6v7IkVAoM+o03AlV084jd6j2G3VXQtVvVVsO8cpO3jpJzTk1WXdmHdbm1sx7cx6/tPoFK+l/ZXSSOIkXZm5mzvgm41nx9grsLO3YfnE7XrO8OBxxWO/QcgaDGVQcCQ02gqUTRO1Tf4Bu7X3lXX//PdjYQEAA/PHHK+9OCCFENjd+PFy/DqVKZVKz2wuLVJuN+MvgUAaaHYBib2fCjgXAmlNrqDWnFmG3wyjqWJTd7+7m3Wrv6h1WriGJk3hpHSt2ZH/f/ZTKV4rw6HB85vmw+Khx+hHlSkVaqLngTq9D4g34qwGETX+lS0Xu7qoZLqj57ImJmRKpEEKIbOjiRVV2HNS/1tavsLP0FAgeDPt7qjYbRd5Q08+dKmZKrLldWnoaI7ePpP3v7YlLjqOBewNC+odQ47UaeoeWq0jiJF5JJedKBPcPpmWZliSmJtLjjx58tPkjUtIytx9RruVQSlUfKtYJtFQIHgQHeqs/Si9p+HB47TX1B3PKlMwLVQghRPby2WeQlASNG8Nbb73CjhJuwPbGEPazelxpNNT/U7XdEK/sTsId3lj2Bt/t+Q6AIbWH4N/dH2c7Z50jy30kcRKvzMnGifWd1/N/9VSn1akHp9JkcRMi4zK3H1GuZWEHdZZBtYlqGt+FBeDvC/cvv9Tu7Oz+LU/+9ddqioYQQojcZedOWLVKNbmdPFkVEXopUfsfTCffDZaOqr1G5THq75V4Zccij1Fjdg22nNuCrYUtS9otYVLzSVhI/ytdyFktMoWZwYxxDcexttNaHKwcCAwPxHOWJwevZV4/olzNYIDyw6DhVrAuAHeCHyy8DXip3XXp8m958pEjMzlWIYQQJi0t7d/1TAMHwuuvv+SOzs2Gv+pDwnVwLP+gMuybmRVmrrf87+V4z/Xmwt0LlHAqQVCfILq83kXvsHI1SZxEpmrj0YaD/Q5SrkA5rsVew3e+L3NDM68fUa7n0gSaB0O+apAUBTuawunJL7zuycwMfvpJ3V+4EA4dMkKsQgghTNLcuXD0KDg5wdixL7GDtCQ4OAAO9lftM4q2heYHVFsN8cpS01MZtm0YnVd3Jj4lnmalmhHcP5iqLlX1Di3Xk8RJZDqPgh4c7HeQNh5tSE5Lpu/6vgzcMJCk1FfvRyQAe3douhfcu4OWBqFDIagbpMa/0G5q1oQePdT9wYOlPLkQQuQG9+7BqFHq/tixULDgC+4g/poqVnRuFmCAKt+C72rVTkO8sqj4KJr/1pwf96n+V5/X+ZxNXTaR31b6X5kCSZyEUThaO7K642q+avgVBgzMDJlJw4UNuR4rC2oyhYUteC8Ez6lgMIfwpbDNB+IuvtBuvvtOrXnavx+WLjVSrEIIIUzGuHEQFQXly8N7773gi2/uUdPEb+9X7TIabIKKI15hgZT4r9CIUDxnebLj4g7sLO1Y2WEl45uMx1z6X5kMSZyE0ZgZzPii3hds6LIBJxsn9l3dh+csT/ZefvV+RAL1h6rch9BoO9g4w72j6g9axLbn3kWRIv+ucfr8c7XmSQghRM505gz8/KDw3eTJYGn5nC/UNAj7RTVkT4xUbTL8gqGIn9FizW0WHV1EnXl1uBx9mTL5y3Cg7wHeriD9r0yNJE7C6FqWacmhfoeo5FyJG3E3aLCwAdMPTUeTuWGZo3B98AuBAjUh+S4E+MGJ8c89927oUNXf6do1mDDBuKEKIYTQz9ChkJoKb7wBzZs/54tSE1QbjOAPVFuM4u+oNhkOpYwaa26RkpbC4M2D6flHTxJTE2lVphUH+x2korP0vzJFkjiJLFE6f2n29dlHx4odSU1PZdCmQfRZ14fEVOnAminyFIUmu6BUH0CDoyNgT0dIic3wpTY2/zZAnDgRLl0yaqRCCCF0sHkzbNqkrjL9+ONzvuj+ZfjLV7XBMJhBtR/AZ6lqkyFeWWRcJI0XNebng+oy4Jf1vmRd53U42TjpG5h4KkmcRJaxt7JnefvlfN/ke8wMZsw/Mh/f+b5cib6id2g5g7kN1JwNNWaAmSVcWQXbakPM2Qxf2q4dNGgAiYnqE0khhBA5R1KSKgIE8OGHULbsc7woMkBN/74TotpgNNwG5T+R9UyZ5MDVA3jO8mT35d04WDnw5zt/MrbhWMyk/5VJk5+OyFIGg4FP63zK1m5byW+bn+DrwXjO8mTnpZ16h5YzGAxQZgA03gW2rhB9ErbWgGsbMnzZzz+DuTmsXQtbt2ZRvEIIIYzuxx/h3DlwcYHRozPYWNPg1CTV7iIpSrW/8AsBl8ZZEmtuMCd0DvUW1ONa7DU8CnpwqN8h3iwn/a+yA0mchC6alGxCSP8QqrpU5Vb8LZosasKU/VNk3VNmKeSt/tAVqgMp0bCrNRwfB1r6U19SqdKjn0gmSfV4IYTI9i5fhq+/Vvd/+AEcHZ+xcWo8BHWFw5+odhcleqj2F3bFsyTWnC4pNYkB6wfQb30/ktOSaePRhgN9D1CuoPS/yi4kcRK6cXdyZ2/vvXSr3I00LY0hW4fQbW034lNerB+ReApbV2i0A8oMUo+Pj4bAtpAc/dSXjBmjPpE8exYmTcqaMIUQQhjP0KGQkAD16kGXLs/YMO4CbPOG8GVgsFDtLmovUO0vxCu7HnudBgsbMCt0FgYMfNPoG1Z3XI2j9bMyWWFqJHESuspjmYdFbRbxk99PmBvMWXp8KT5zfbh498X6EYmnMLeCGtOg9nwws4Zr62BrTTWF7wkcHVWBCICvvlKfVAohhMietm2D1avVNOxp056xPOn6VtjiBfeOqfYWjberdheynilT7Lm8h+ozq7P/6n6cbJzY2GUjI31HynqmbEh+YkJ3BoOBwbUGs73HdgrlKcTRyKN4zfZi2/nn70ckMlCyFzTdA3ncIDYMttaCK2ueuGnXruDrqz6hlEIRQgiRPSUlqWnXoP59/fUnbKRpcOI72NlCtbMoUFNN83aul6Wx5lSapjH90HQaLmxI5P1IXnd+neB+wbQo00Lv0MRLksRJmIz67vUJ6R9CjSI1uJNwhxZLWjBhzwRZ95RZCniphoXODSA1Dna3h6OjID3tkc0MBvjlF/UJ5erV6hNLIYQQ2cvkyRAWBoULq2nYj0mJhT0d4OhIQINSfaFJoGpvIV5ZYmoivdf1ZtCmQaSmp9KxYkf29dlHqfzS/yo7k8RJmBS3vG4EvhtI76q9SdfSGb59OB1XdSQuOU7v0HIGG2do5A/lhqjHJ76FXW+oTxr/4/XX4YMP1H0pFCGEENnL5ctqujWo6dd58/7PBjFhql3FldWqfUXNmVBrNphbZ3msOdHl6Mv4zvdlwZEFmBnMmNh0IsvbL8fOSvpfZXeSOAmTY2Nhw5w35/Brq1+xNLNk1clV1J5Tm7O3M+5HJJ6DmQV4TgKfJWBuCxFb1Nz2u8ce2WzsWPVJZViY+uRSCCFE9vDJJxAfD3XrQrdu//PFaxtUm4rok6qIUONdULq/LnHmRAEXA/Ca5UXw9WAK2BZgW7dtDPMZhkHWi+UIkjgJk2QwGBjoNZCdvXbiYu/CiVsnqDG7BhvDNuodWs7h3gWaBYGd+7/VlC4tf/jlvHkfLRRxRfoUCyGEyfvrL1i1Sk23/uWX/9R30NLh+FjVniIlRrWr8AtR7SvEK9M0jcn7JtN0cVNuxd+imks1QvqH0Lik9L/KSSRxEibNx82H0P6h+Lj5EJ0UTetlrRm3axzpz+hHJF5Avqpq3ZNLU0iLh6DOEDoM0lMB9Ull3brqk8tPPtE3VCGEEM+WnPzvNOtBg6By5X++EA2BbeD4GPW4zPuqXYWtqw5R5jzxKfF0W9uNoduGkqal0aNKD/b23ktxJ+l/ldNI4iRMnquDKwE9A3jf6300NEbvHE3bFW2JTnx6PyLxAqwLQIPNUOFz9fj0jxDQHBKjHikUsXIl+PvrG6oQQoinmzwZzpxR06zHjn3wZPRJ1Ybi2nrVlqL2fKjxi2pXIV7ZxbsX8Znrw9LjS7Ews2Cq31QWvLUAW0vpf5UTSeIksgUrcyt+afUL896ch7W5NevOrKPmnJqcunVK79ByBjNzqDoe6v4OFnYQuQO2esGdUCpXVp9cArz/PiQm6huqEEKIx128+G+y9P334OSEajuxtZZqQ5HHTbWlKNlLxyhzlm3nt+E124ujkUdxtnNme4/tfFjrQ1nPlINJ4iSylXervcvud3dT1LEoYbfDqDmnJmtPrdU7rJyjWAdoth/sS8P9cPCvAxcX89VXUKQInDsH336rd5BCCCH+S9PUFL2EBGjQALp3TYMjI1XbidQ41YbCL0S1pRCvTNM0JuyZQIslLbiTcIear9UkpH8I9YpL/6ucThInke3UeK0GIf1DqF+8PnHJcbT7vR1f7PiCtP/pRyReklMl8DsERVpCWiLs64Fj2Ef8/FMKAOPHw+nTOscohBDiodWrYdMmsLKCmT/fwRDYCk5+p77oMVS1obAppG+QOURsUiwdV3Vk+PbhpGvp9K3Wl8BegRR1lP5XuYEkTiJbcrZzxr+7Px/X+hiAb3Z/Q+tlrbmbcPfZLxTPx8oJ6q+HSl+qx2FTaZu3CV3bR5KSAgMHqk84hRBC6Cs6GgYPVvcnjz5G2Qs1IGKrajfhswSq/6jaUIhXdvb2WWrPrc2qk6uwNLNk5hszmf3mbKwtpP9VbiGJk8i2LM0tmew3md/a/oathS2bz22mxuwa/H3zb71DyxkMZlB5LNT7AywcMNwKZME7nvhWOMiuXbBwod4BCiGEGD3ajIgI+Ljtct4r5a3aS9iVgGb7VNsJkSk2hG2gxuwanLx1Eld7V3b12kV/T+l/ldvomjgFBgbSunVrihQpgsFg4I8//sjwNbt27cLT0xMbGxtKlizJjBkzjB+oMGldK3clqE8Q7k7unL97nlpzavH7id/1DivnKPqWmrrn6IFF8jV2jPSld/25DBsGUVF6ByeEELlXWJgTs2amM7HLMCa/3RlDWjy4NFNtJvJV0Tu8HCFdS2fcrnG0Xtaa6KRo6rjVIaR/CN5u0v8qN9I1cbp//z5VqlRh2rRpz7X9xYsXadmyJb6+vhw+fJiRI0cyePBgVq9ebeRIhamr6lKV4H7BNC3ZlPiUeDqt6sTn/p+T+qAfkXhFjuWg+QEo2hYLQzJz+/fl67cG8sUIGV8hhNBDaiqsWPgaWz7zY1irH9WTFUZAg01gnV/f4HKI+2n3eXvV24zeORqAQTUGsaPnDlwdpP9VbqXrpNcWLVrQokWL595+xowZFCtWjClTpgBQvnx5goOD+eGHH2jfvr2RohTZRYE8BdjcdTOjdoxiwt4JfB/0PSHXQ+hp31Pv0HIGS0fwXQUnx6Md/YKBjWdS5exRDpz8HFrqHZwQQuQuK2ceZnX/DhQveJl0czvMvBdCMXkvlFlORZ3i07BPuZ50HWtza35t9SvvVntX77CEzrLVasF9+/bRrFmzR55r3rw5c+fOJSUlBUtLy8dek5SURFJS0sPHMTExAKSkpJCSkmLcgJ/DPzGYQiw5xVf1v6KKcxX6bejH9kvbOWZ5jFJXS1GjaA29Q8sZyn6KweF1kgJ64F1mP6ViB5BweQkUq693ZDmO/H4wLhlf45LxNZ67IYvomG8QNpZJ3EsrjV2zlaTlrQgy1pli7em19Fnfh7iUOIo6FGXl2yvxdPWUczkTmdLvhxeJwaBpplEby2AwsHbtWtq0afPUbcqWLUuvXr0YOXLkw+eCgoKoU6cO169fx9X18UunY8aMYezD9tn/Wrp0KXny5MmU2IVpCk8I57uL33Ej+QZWBivec3uPhvkb6h1WzhF3kzLXf6LCaydITbfghE1vLlm0AGn8J4QQRmHQUqmUPI+SqZsACAhrxv3KPUgzt9c5spwhTUtj2Y1lrIpcBUAl+0oMKz4MJ0snfQMTRhUfH0+XLl2Ijo7G0dHxmdtmqytOwGPdmP/J+57WpXnEiBEMHTr04eOYmBjc3Nxo1qxZhoOTFVJSUvD396dp06ZPvGImXk372Pa8tfAtQmJC+OnyT6Q5pzGh8QQszWWsM8PvS9txfP/7dKr9O1WSZ/F6kUTSqk8Dcxu9Q8sR5PeDccn4GpeMbyZLjMR8X2fM4vcAMG7tl+Sr50sfPx8Z30xwN+EuPf7swdbIrQB84PkBDVMb4tfMT8bXCEzp98M/s9GeR7ZKnFxcXLhx48Yjz928eRMLCwsKFCjwxNdYW1tjbf14fX1LS0vdf1D/ZWrx5BTODs6MKjGKYPtgvt37LdOCp3Hs1jF+f/t3CtsX1ju8bK9DZ0dq//QTwRe8GP/OcMwvLcIs5iT4rga7YnqHl2PI7wfjkvE1LhnfTBB1AHa3h4RrxCQ40m36Yso3aUWVYhtkfDPBschjtF3Rlgt3L2BrYcucN+fQwaMDmzZtkvE1MlMY3xc5frbq4+Tt7Y2/v/8jz23btg0vLy/dB12YLjODGWPqj2Ftp7U4WDkQGB6I5yxPDl47qHdo2Z7BAAMHHmd6wDCaj99KopYf7gTDFk+IDNA7PCGEyP7OzYa/6kHCNSLue1Dj/w5yKuZNRo5M1zuyHGHF3yvwnuvNhbsXcHdyJ6hPEF1el/5X4sl0TZzi4uI4cuQIR44cAVS58SNHjnD58mVATbPr0aPHw+0HDhxIeHg4Q4cO5dSpU8ybN4+5c+cybNgwPcIX2UwbjzYc7HcQj4IeXIu9hu98X+aGztU7rGyvcOF4xo1LZ/uJJtT4IoRk+2qQFAU7msLpyWAayyiFECJ7SUuCgwPgYH9IT+aWdVvKfXSAsIhyzJ4Nskz71aSmp/Lptk95Z/U7xKfE07RkU4L7BVPVpareoQkTpmviFBwcTLVq1ahWrRoAQ4cOpVq1anz55ZcAREREPEyiAEqUKMGmTZvYuXMnVatW5auvvmLq1KlSilw8N4+CHhzoe4A2Hm1ITkum7/q+vLfhPZLTkvUOLVsbNCidWrXg70vudJ63F829O2hpEDoUgrpBarzeIQohRPYRfw3+agDnZgEGkst/g8/wVcQmODJgADRooHN82VxUfBR+v/nxw74fAPi8zuds7rqZAnmevOxDiH/ousapQYMGPKuo34IFCx57rn79+oSGhhoxKpHTOVo7srrjar7b/R3/F/B/zAiZwbGbx1jZYSVFHIroHV62ZG4Oc+dCtWqw5k9bVnRayDueNSB0CIQvhegTUG8t2JfQO1QhhDBtN/fAnrchMRIsnaDOUkZNbsG5c/DaazBhgt4BZm+hEaG0W9GO8Ohw7CztmP/WfDpU7KB3WCKbyFZrnITILGYGM0bVG8XGLhtxsnEi6EoQnrM82Xt5r96hZVsVK8IXX6j7Hw42EFXgQ2i0HWyc4d5R2OIFEdv0DVIIIUyVpkHYL7C9oUqanF4Hv2AOXWvBpElqk19/hbx59Q0zO1t8dDF15tUhPDqc0vlLs7/vfkmaxAuRxEnkai3KtOBQv0NUcq7EjbgbNFzYkOmHpj/zSqh4uuHDoVIliIqCjz8GCtcHvxAoUBOS78DOFnBygqx7EkKI/0pNgP3vQvAHoKVC8Xeg2T6SrUvRpw+kp0PnztC6td6BZk8paSl8tPkjevzRg8TURFqWafnwb78QL0ISJ5Hrlc5fmn199tGxYkdS0lMYtGkQfdb1ITE1Ue/Qsh0rKzVlz8wMliyBjRuBPEWhyS4o1Qe0dDgyHPZ0hJQ4vcMVQgj93b8Mf/nCxYVgMINqP4DPUrCwY8IEOH4cChaEn37SO9DsKTIukiaLmzD14FQAvqz3Jes7r8fJxknfwES2JImTEIC9lT3L2y/n+ybfY2YwY/6R+fjO9+VK9BW9Q8t2ataEIUPU/YEDISYG1RC35myoMQPMLOHKKthWG2LO6hqrEELoKjJAtW+4EwLWBaDhNij/CRgMnDwJX32lNps6FQoV0jfU7OjA1QN4zvIkMDwQBysH/uj0B2MbjsXMIG9/xcuRM0eIBwwGA5/W+ZSt3baS3zY/wdeD8Zzlyc5LO/UOLdsZNw5KloSrV9X0PUA1fSozABrvAltXVTBiaw24tlHXWIUQIstpGpyapNo2JEVBvmpqWrNLYwDS0qBPH0hJgTfegHfe0TnebGhO6BzqLajHtdhreBT04GC/g7zl8ZbeYYlsThInIf5Hk5JNCOkfQlWXqtyKv0WTRU2Ysn+KrHt6AXnywJw56v6vv8KuXf/5YiFv9QahUB1IiYZdreH4ODWNTwghcrrUeAjqCoc/UW0bSvSApnvBrvjDTaZNg/37wcFB/Q41GHSMN5tJSk1iwPoB9Fvfj+S0ZNp4tOFA3wN4FPTQOzSRA0jiJMQTuDu5s7f3XrpV7kaalsaQrUPotrYb8SnSj+h5NWwI/fqp+336wP37//mirSs02gFl3gc0OD4aAttCcrQeoQohRNaIuwDbvCF8GRgswHMq1F4AFrYPNzl7FkaMUPcnToSiRfUJNTu6HnudBgsbMCt0FgYMfN3wa1Z3XI2jtaPeoYkcQhInIZ4ij2UeFrVZxE9+P2FuMGfp8aXUmVeHi3cv6h1atjFxIri5wfnz8Pnn//NFcyuo8QvUng9m1nBtHWytCdGndIlVCCGM6vpW1Zbh3jHVpqHxdij34SOXk9LSoFcvSEiARo3+/fBJZGzP5T1Un1md/Vf342TjxMYuGxlVb5SsZxKZSs4mIZ7BYDAwuNZgtvfYTqE8hThy4whes73wP++vd2jZQt68qsoewC+/wPbtT9ioZC9oukdV34sNU8nTlTVZGaYQQhiPpsGJ71Q7huS7qj2DXwg413ts08mTIShITdGbN09VKBXPpmka0w9Np+HChkTej6SScyUO9TtEizIt9A5N5EDyv6QQz6G+e31C+odQo0gN7iTcwW+JHxP2TJB1T8+haVNVXQ+gd+8HVfb+VwGvB28k6kNqHOxuD0dHQXpalsYqhBCZKiUW9nSAoyMBDUr1hSaB6oOi/3Hy5L9NxCdNguLFH9tE/I+ElAR6r+vNoE2DSE1PpWPFjuzrs4/S+UvrHZrIoSRxEuI5ueV1I/DdQHpX7U26ls7w7cPpuKojccnSjygjEydCiRJw+TIMHfqUjWycoZE/lPtYPT7xLex6A5LuZFWYQgiReWLCVNuFK6tVG4YaM6DWbDC3fmzT1FTo2ROSkqBFC7UuVDzb5ejL+M73ZcGRBZgZzJjYdCLL2y/H3spe79BEDiaJkxAvwMbChjlvzuHXVr9iaWbJqpOrqD2nNmdvSz+iZ7G3h/nz1VT+uXNh06anbGhmCZ6Twfs3MLeFiC2qZPndY1karxBCvJJrG9TvruiTYFtEtWEoM+Cpm48fD8HB4OQEs2dLFb2MBFwMwHOWJyERIRSwLcDWblsZ5jMMgwycMDJJnIR4QQaDgYFeA9nZaycu9i6cuHWCGrNrsDFM+hE9S/368NFH6n7fvnDnWReSSnSFZkFg5/5vFapLy7MiTCGEeHlaOhwfq9ospMRAoboP2i94P/UlR4+q3ncAP/8Mr72WRbFmQ5qmMWnfJJoubkpUfBTVXKoR3D+YJiWb6B2ayCUkcRLiJfm4+RDaPxQfNx+ik6Jpvaw143aNI136ET3Vt99C2bIQEQGDB2ewcb6q4BcMLk0gLR6COkPoMEhPzYpQhRDixSRHQ2AbOD5GPS4zCBptB1uXp78kGXr0UI1u27SBrl2zItDsKT4lnm5ru/HJtk9I09LoXrk7e3vvxd3JXe/QRC4iiZMQr8DVwZWAngG85/UeGhqjd46m7Yq2RCdKP6InsbWFhQtVpaglS2Dt2gxeYF0AGmyBCg9qmZ/+EQKaQ2KU0WMVQojnFn1SVQS9tl61V6g9H2pMU20XnuGrr+DYMShYEGbMkCl6T3Ph7gW853qz9PhSzA3mTPWbysI2C7G1tM34xUJkIkmchHhFVuZWTG81nblvzsXK3Ip1Z9ZRa04tTt2SfkRPUrs2fPaZuj9gANy6lcELzMyh6nioswIs7CByB2zxhDuhRo9VCCEydGUNbK2l2inkcVPtFUr2yvBlhw7Bd9+p+7/+CoULGzfM7Grb+W14zfLiWOQxnO2c2d5jOx/W+lDWMwldSOIkRCbpXa03u9/dTVHHopy5fYaac2qy9lRGl1RypzFjoFIllTQNHKjanGSoeEdoth/sS0P8ZfCvAxcWGTtUIYR4svQ0ODJStU9IjQPnBmo9UwGvDF+akKCq6KWlwTvvwNtvGz/c7EbTNMbvGY/fb37cTbxLzddqEtI/hPru9fUOTeRikjgJkYke/mIvXp+45Dja/d6OUdtHkSb9iB5hba2m7FlYwJo1sGDBc77QqRL4HYIiLSEtEfb3hODBkJ5izHCFEOJRSXdgVys4+eCSUbkhqp2CTaHnevlnn8GpU+DiAtOmGTHObCo2KZYOKzswYvsINDT6VuvLrl67KOr4eP8rIbKSJE5CZDJnO2f8u/vzca2PAfh2z7e8sewN7ibc1TcwE1O9+r+VpAYPhvPnn/OFVk5Qfz1U+lI9DvsZtjeGhEhjhCmEEI+6exS2eEHEVtU2wWcJeE4CM4vnevmmTf8mSwsWQIECxgs1Owq7HUbtubVZfWo1lmaWzHxjJrPfnI2NhY3eoQkhiZMQxmBpbslkv8n81vY3bC1s2XJuC16z1Rxt8a/PPoN69SAuTlWTSnneC0cGM6g8Fur9ARYOcGu3WvcUdcCY4QohcrtLy1R7hPsXwa4ENNsH7l2e++U3b8K776r7H30EzZsbKc5sakPYBmrMrsHJWydxtXdlV69d9Pfsr3dYQjwkiZMQRtS1cleC+gTh7uT+sCrQir9X6B2WyTA3h8WLIW9eOHAAvv76BXdQ9C1ofhAcPSDhGvxVD87NMUqsQohcLD0VQj+BoC6QlgAuTdW04XxVnnsXmgZ9+qjkqVIl1fRWKOlaOmN3jqX1stbEJMVQx60OIf1D8HZ7ev8rIfQgiZMQRlbVpSrB/VSDvviUeN5Z/Q6fbvuUVOlHBECxYqqiFKjEKSjoBXeQ1wOaH4CibSA9GQ72g4MDIC0ps0MVQuRGibdUG4TTk9TjCp9Dg82qXcILmDkTNmwAKyvVjsFGZp4BEJ0YTZvlbRizawwAg2oMYkfPHbg6uOobmBBPIImTEFmgQJ4CbOm6hc/rqH5EP+z7Ab/f/IiKl35EAJ07q6l66enQrRvExLzgDiwdwXc1VP4aMMC5WfBXA4i/boRohRC5xp0QtZ4pcodqh1B3pWqPYGb+Qrs5fRqGDlX3x4+HypWNEGs2dPLWSWrOqcn6sPVYm1sz/635TGs5DasM+l8JoRdJnITIIuZm5oxvMp4Vb6/AztKO7Re34zXLi9AI6UcE8MsvULw4XLyoikW8MIMZVBoFDTaCpRPc3g9bqsPNPZkdqhAiN7iwELbVUe0PHMpAswNQ7MXrhicnqw+GEhKgSRO1tknAmlNrqDWnFmG3w3BzdGNP7z30qtpL77CEeCZJnITIYh0rdmR/3/2UyleK8Ohw6syrw+Kji/UOS3d586r1TmZmqlT5ypUvuaMiLdTaA6fXITEStjeEsOnP2SxKCJHrpadA8IewvxekJ0GRVmotpVPFl9rdl19CaCjkz69+t5nl8ndeaelpjNw+kva/tycuOY4G7g0I7h+MV5GM+18Jobdc/r+vEPqo5FyJ4P7BtCzTksTURHr80YOPNn9ESlru7kfk6wsjRqj7AwbA1asvuSOH0qraVbFOoKVC8CA40Fv1fhJCiKdJuKHaG4Q9qBdeaTTUX6faILyEnTvh++/V/TlzoEiRTIky27qTcIdWS1vx3R7V/+rjWh/j390fZztnnSMT4vlI4iSETpxsnFjfeT1f1lP9iKYenEqTxU2IjMvd/YhGj4YaNeDuXejRA9JetnewhR3UWQbVJqppfBcWgL8v3L+cmeEKIXKKqP2qrcGt3WrdZL0/ofIY9fvjJdy5o36H/VNNr23bzA03uzkWeYwas2uw9fxWbC1sWdJuCZP9JmPxnP2vhDAFkjgJoSMzgxljG47lj05/4GDlQGB4IJ6zPDl47aDeoenG0lJVnLKzg4AA+PbbV9iZwQDlh0HDraoC1p1g9cYoMiDT4hVC5ADnZsNf9SHhOjiWV1Pzir750rv7J1m6cgVKl4YpUzIv1Oxo+d/L8Z7rzYW7F3B3cieoTxBdXn/+/ldCmApJnIQwAW95vMXBfgfxKOjBtdhr+M73ZW7oXL3D0k2ZMjB9uro/ZgwEBr7iDl2aQPNgyFcNkqJgR1M4PVnWPQmR26UlqfYFB/urdgZu7VR7A8dyr7TbadPgjz9U6fEVK8DePnPCzW5S01MZtm0YnVd3Jj4lnqYlmxLcL5iqLlX1Dk2IlyKJkxAmwqOgBwf6HqCNRxuS05Lpu74v7214j+S0ZL1D00WPHtCzpypR3rkz3Lr1iju0d4eme8G9O2hpEDoUgrpBanxmhCuEyG7ir6m2BedmAQao8i3UXQWWDq+025AQGDZM3f/hB6he/ZUjzZai4qNo/ltzftz3IwCf1/mczV03UyDPi/W/EsKUSOIkhAlxtHZkdcfVfN3wawwYmBEyg4YLG3I9Nnf2I5o2DTw84Pr1f5OoV2JhC94LwXMqGMwhfCls84G4i5kSrxAim7i5R03bvb1ftS9osAkqjlDTe19BTAx06qRKkLdpAx98kCnRZjuhEaF4zvJkx8Ud2Fna8fvbvzO+yXjMX7D/lRCmRhInIUyMmcGMUfVGsbHLRpxsnAi6EoTnLE/2Xt6rd2hZzt5eTXOxsYHNm2HSpEzYqcEA5T6ExjvAxhnuHVUNLiO2ZcLOhRAmTdMg7BfVpiAxUrUt8AuGIn6Zsuv+/eH8edWTbt68V87DsqXFRxdTZ14dLkdfpnT+0uzvu58OFTvoHZYQmUISJyFMVIsyLTjU7xCVnCtxI+4GDRc25NdDv6LlsnU5lSvDTz+p+yNGwP79mbRj53rgFwIFakLyHdjZAk6Ml3VPQuRUaYmqLUHwB6pNQfF3VNsCh1KZsvs5c9QHPRYWsHw55MuXKbvNNlLSUvho80f0+KMHiamJtCzT8uHfMCFyCkmchDBhpfOXZl+ffXSs2JGU9BTe3/Q+fdf1JTE1d/Uj6tdPTX9JTYV33lGlyjNFnqLQJBBK9QUtHY6OgD0dISUukw4ghDAJ9y+rdgQXFqjy4tV+AJ+lqm1BJvj7bxg8WN3/9luoXTtTdpttRMZF0mRxE6YenArAl/W+ZH3n9TjZOOkbmBCZTBInIUycvZU9y9sv5/sm32NmMGPekXnUm1+PK9FX9A4tyxgMMGsWlCwJ4eHQt28mXhgyt4Zas6HGDDCzhCurYFttiDmbSQcQQugqMkCtZ7oTrNoSNNwG5T/JtHl09+9Dx46QmAgtWsAnn2TKbrONg9cO4jnLk8DwQBysHPjznT8Z23AsZi/Z/0oIUyZntRDZgMFg4NM6n7K121by2+bn0PVDeM7yZOelnXqHlmUcHdU0GEtLWLPm33LlmabMAGi8C2xdIfoEbK0B1zZm8kGEEFlG0+DUJNV+IClKtSPwCwGXxpl6mA8/hFOnoEgRWLgQzHLRO6u5oXPxne/LtdhreBT04FC/Q7xZ7uX7Xwlh6nLR/95CZH9NSjYhpH8IVV2qciv+Fk0WNWHK/im5Zt2TlxdMnKjuDx0Khw5l8gEKeas3VoXqQEo07GoNx8epaXxCiOwjNR6CusLhT1T7gRI9VDsCu+KZepgFC2D+fJUsLV0KhQpl6u5NVlJqEgM3DKTv+r4kpyXTxqMNB/oeoFzBV+t/JYSpk8RJiGzG3cmdvb330q1yN9K0NIZsHUK3td2IT8kd/YgGD4a2bVW53/btISoqkw9g6wqNdkCZQYAGx0dDYFtIjs7kAwkhjCLuAmzzhvBlYLBQ7QdqL1DtCDLR4cPw3nvq/pgxUL9+pu7eZF2PvU6DhQ2YGTITAwa+afQNqzuuxtHaUe/QhDA6SZyEyIbyWOZhUZtF/OT3E+YGc5YeX0qdeXW4eDfn9yMyGNQnvGXKwJUr0KULpKVl8kHMraDGNKg9H8ys4do62FoTok9l8oGEEJkqYptqL3DvmGo30Hi7aj+QyXXB795VH9wkJkKrVjBqVKbu3mTtubyH6jOrs//qfpxsnNjYZSMjfUfKeiaRa8iZLkQ2ZTAYGFxrMNt7bKdQnkIcuXEEr9le+J/31zs0o8ubV61zypMH/P3Vp71GUbIXNN0DedwgNkwlT1fWGulgQoiXpmmqnUCAHyTfVW0G/EJU24FMlp4O3brBxYuqYM3ixTl/XZOmaUw/NJ2GCxsSeT+S151fJ7hfMC3KtNA7NCGyVA7/X12InK++e31C+odQo0gN7iTcwW+JHxP2TMjx654qVYLZs9X9r7+GDRuMdKACXg/egDWA1DjY3Q6OfgHpmX2ZSwjxUlJiVRuBoyMATbUXaBKo2g0YwTffwKZNqjH36tU5v19TYmoivdf1ZtCmQaSmp9KpYif29dlHqfyZ0/9KiOxEEichcgC3vG4EvhtIn2p9SNfSGb59OJ1WdSIuOWf3I+rSBT74QN3v3h3OnzfSgWwKQSN/KDdEPT7xjSockZxZDaWEEC8l5qxqH3BllWonUHOmai9gbm2Uw23dCqNHq/u//gpVqxrlMCbjcvRlfOf7suDIAswMZkxsOpFl7ZdhZ5U5/a+EyG4kcRIih7CxsGF269n82upXLM0sWXlyJbXn1ObcnXN6h2ZUP/4I3t5w755acxBvrBoZZhbgOQl8loC5LURshi014N5xIx1QCPFM1zbAVi+IPqmKujTeBaX7G+1wly6pD2s0Dfr3h169jHYokxBwMQDPWZ4EXw+mgG0BtnXbxjCfYRgyeb2YENmJJE5C5CAGg4GBXgPZ2WsnLvYunLh1Aq9ZXmwMy7n9iKysYOVKcHaGo0fh/fczsTnuk7h3gWZBYOcOcedha20IX2HEAwohHqGlw/Gx6qpvSoxqH+AXotoJGEliIrz9Nty5o9oi/PST0Q6lO03TmLxvMk0XNyUqPopqLtUI7h9M45KZ2/9KiOxIEichciAfNx9C+4fi4+ZDdFI0rZe15qtdX5GeQ/sRvfYaLF+uFmgvXAizZhn5gPmqgl8wuDSFtHjY+w4c/hTSU418YCFyueRoCGwDx8eox2UGqfYBtq5GPezgwRASAvnzw6pVan1TThSfEk+3td0Yum0oaVoa3St3Z2/vvbg7uesdmhAmQRInIXIoVwdXAnoG8J7Xe2hofLnzS9quaEt0Ys7sR9SwIXz3nbo/eDDs22fkA1oXgAabofxn6vGpH1RFr8TMbiwlhADUlLytNeHaetUmoNY81TbA3Mqoh509W90MBli2DIpnbg9dk3Hh7gW853qz9PhSzA3mTPWbysI2C7G1zNz+V0JkZ5I4CZGDWZlbMb3VdOa+ORcrcyvWnVlHrTm1OHUrZ/Yj+vRTtc4pOVk1yb161cgHNDOHahOgzgqwsIPI7WrNxZ1QIx9YiFzmyhrYWku1BcjjptoElHrX6IfdvRsGDVL3v/oKmjUz+iF1se38NrxmeXEs8hjOds5s77GdD2t9KOuZhPgfkjgJkQv0rtab3e/upqhjUc7cPkPNOTVZeyrn9SMyGGDBAqhcGSIjoU0bIxaL+K/iHaHZfrAvBffDwb8OXFycBQcWIodLT4MjI2F3e9UOwLmBmiZbwMvohw4PVx/EpKRAhw4wcqTRD5nlNE1j/J7x+P3mx93Eu9R8rSYh/UOo715f79CEMEmSOAmRSzz8g1i8PnHJcbT7vR1f7PiCtBzWj8jeHv78EwoWVGsS+vQxcrGIfzhVAr9DUKQlpCXCvh4Q/BGkp2TBwYXIgZLuwK5WcPLBHNxyQ1RbABtnox/6/n146y24dQuqVYP589UHMzlJbFIsHVd1ZMT2EWho9KnWh129dlHU0Tj9r4TICSRxEiIXcbZzxr+7Px/V+giAb3Z/Q+tlrbmbkLP6Ebm7q8aUFhaqaMT48Vl0YKt8UH89VPo/9ThsKuxoAgmRWRSAEDnE3WOwtQZEbFXl/32WqHYAZhZGP7SmqVLjR4+qap1//AF2Oaxt0dnbZ6k9tzarTq7C0sySGa1mMLv1bGwscmjVCyEyiSROQuQyluaWTPGbwuK2i7GxsGHzuc3UmF2D45E5qx9RvXowbZq6P2oUrF+fRQc2mEHlceC7Fiwc4GYgbPGEqANZFIAQ2dyl5bDNG+IugF0JVf7fvUuWHf7rr1XlPEtLWLMGihXLskNniQ1hG6gxuwYnb53E1d6VXb12McBrgKxnEuI5SOIkRC7VrXI3gnoHUTxvcc7fPU/tubX5/cTveoeVqQYM+LevU5cucOJEFh7crQ00PwiOHpBwDf6qB+fmZGEAQmQz6akQ+gkEdVZl/l2aqumv+apmWQhr18KXX6r7M2ZAnTpZdmijS9fSGbdrHK2XtSY6KZo6bnUI6R+Ct5vx+l8JkdNI4iRELlbNtRoh/UNoUrIJ8SnxdFrViU+3fUpqDupHNGUKNGgAcXHw5ptw+3YWHjyvBzQ/AEXbQHoyHOwHBwdAWlIWBiFENpB4CwKaw+lJ6nGF4arcv3WBLAvh2DHo3l3d/+gj6N07yw5tdNGJ0bRd0ZbRO0cDMKjGIHb03IGrg3H7XwmR00jiJEQuVyBPAbZ03cJnPqof0Q/7fsDvNz+i4nNGPyJLS1i5EkqUgAsXoGNHVSUr6wJwBN/VUPlrwADnZsFfDSD+ehYGIYQJuxMCW7wgcocq6193JVT9TpX7zyK3bqliEPfvQ5Mm8MMPWXZoozt56yQ159Rk3Zl1WJtbM/+t+UxrOQ0rI/e/EiInksRJCIG5mTkTmk5gxdsrsLO0Y/vF7XjN8iI0Imf0IypYENatUxX3duxQfVmypNLePwxmUGkUNNgIlk5wez9sqQ4392RhEEKYoAsLYVsdiL8MDmWg2QEo9naWhpCYqFoXXLoEpUrBihWqsExOsObUGmrNqUXY7TDcHN3Y03sPvar20jssIbItSZyEEA91rNiR/X33UypfKcKjw6kzrw6Lj+aMfkSVKsHSpWBmBrNnw/ff6xBEkRZqzUbeSpAYCdsbQtgvWZzFCWEC0lMg+EPY3wvSk6BIK7Um0Kli1oaRDj17QlAQODmpIjL582dpCEaRlp7GqO2jaP97e+KS42jg3oDg/sF4FTF+/yshcjJJnIQQj6jkXIlD/Q7RskxLElMT6fFHDz7a/BEpadm/H1Hr1mrNE8Dw4fC7HrUwHEpDs31QrCNoqRD8ARzorXo/CZEbJNyA7Y0h7EHZy0pfQv11YOWU5aGMGqV+D1haqsIQ5ctneQiZ7m7CXd5Y9gbf7vkWgCG1h+Df3R9nO+P3vxIip5PESQjxmHy2+VjfeT3/V0/1I5p6cCpNFjchMi779yP68EO18BugRw/Yu1eHICztoc5yqPq9msZ3YQH4+8L9yzoEI0QWitqvyvPf2q3K9df7EyqPVf8fZLHZs//t8TZnjioik90djzyO12wvtpzbgq2FLUvaLWFS80lYZEH/KyFyA0mchBBPZGYwY1zDcazttBYHKwcCwwPxnOXJgavZvx/Rjz+qheBJSerfc+d0CMJggAqfQsOtqnLYnWD1hjIyQIdghMgC52bDX/Uh4To4llfTVou+qUsoW7fCe++p+2PGqA9Rsrvlfy+n9tzaXLh7AXcnd4L6BNHl9azrfyVEbqB74jR9+nRKlCiBjY0Nnp6e7N69+6nb7ty5E4PB8Njt9OnTWRixELlLG482HOx3EI+CHlyLvUa9BfWYE5q9+xGZm8OSJeDlpcqTt2yZxWXK/8ulCTQPhnzVICkKdjSF05Nl3ZPIOdKSVBn+g/1VWX63dqpMv2M5XcI5dgw6dIC0NJUw/dO3KbtKTU9l2LZhdF7dmfiUeJqVakZwv2CqulTVOzQhchxdE6cVK1bw8ccfM2rUKA4fPoyvry8tWrTg8uVnT1c5c+YMERERD29lypTJooiFyJ08CnpwoO8B2ni0ITktmX7r+zFg/QCSUrNvPyI7O7UQvHhxOHtWVdVK1GuZkb07NN0L7t1BS4PQoRDUDVLjdQpIiMxhk34b851NVBl+DFDlW6i7CiwddInn+nVo1QpiY9XUvNmz1cXf7Co6NZpWy1rx474fARheZzibumyiQJ6s638lRG6ia+I0adIk+vTpQ9++fSlfvjxTpkzBzc2NX3/99Zmvc3Z2xsXF5eHN3Dzrej0IkVs5WjuyuuNqvm74NQYMzAqdRZMlTbidrNelmlfn4gIbN0LevLBnD7z7rqqypQsLW/BeCJ5TwWAO4Uux2FGPPOnZf12ZyJ0MUXupn/gJZncOqDL8DTZBxRG6ZSqxsSppunoVPDxgzRqwysatjEIjQhl2ZhgB4QHYWdqxssNKvmvyHeZZ2P9KiNxGt9WCycnJhISEMHz48Eeeb9asGUFBQc98bbVq1UhMTKRChQp88cUXNGzY8KnbJiUlkZT076fiMTExAKSkpJCSpV0wn+yfGEwhlpxIxjfzfeb9GZWdK9Pjzx4cuHaAM5FnKHaxGPVL1Nc7tJdStiysWGHgjTfMWb7cQJEiaYwfr1f2BJQciMGhIub7OmOIPkZ9hpF2zQVea6FfTDmU/H4wEk3D7PwMzI98goWWSrpjRdLqrAL7Ulncffpfycnw9tvmHDlihrOzxp9/pmJvr1s4r2zRsUUM2jyIpLQkSucrzcq3V1KxUEU5lzOR/H4wLlMa3xeJwaBp+kykv379Oq+99hp79+7Fx8fn4fPffvstCxcu5MyZM4+95syZMwQGBuLp6UlSUhKLFy9mxowZ7Ny5k3r16j3xOGPGjGHs2LGPPb906VLy5MmTed+QELlMRFIE4y+OJzwxHHPMefe1d2lVsBWGbDrvJSDAjZ9+qg5Az54naNtWj4oR/7JJj6Jm0gTypZ9Fw4yTlt04Z9k2e88rEjmemZZMleQZFEvdAcBVc1+OWA8izWCjW0zp6TB5sie7dxfF2jqVr74KomzZu7rF8ypS0lOYd30em6M2A+Dl6MXHxT7G3sJe58iEyL7i4+Pp0qUL0dHRODo6PnNb3ROnoKAgvL29Hz7/zTffsHjx4ucu+NC6dWsMBgPr1q174tefdMXJzc2NqKioDAcnK6SkpODv70/Tpk2xtLTUO5wcR8bXuO7dv0e7he3Yc28PAB3Kd2Bmq5nYW2XPP+KTJpkxfLia5jJ7dio9e+pboCElMZZbmztRPPUvANKLtiOtxhyQN0mZQn4/ZLL4y5gHdcLsbggaZqRU/JrNF8vTtFkz3cZX02DIEDOmTzfHwkJj7do0mjfPnoVXLkdfpvPazhy6fgiAkT4j8brvRfNmzeX8NQL5/WBcpjS+MTExFCxY8LkSJ92m6hUsWBBzc3Nu3LjxyPM3b96kcOHCz72f2rVr89tvvz3169bW1lhbWz/2vKWlpe4/qP8ytXhyGhlf43Cyc+KT4p/QxqsNw3cMZ+WplRy/dZzVHVdToVAFvcN7YZ9/rqrrTZwIAwda4OwMb+pTLfkBB45YDaJo5baYH/kYs6trMIs9A75rwVGK4mQW+f2QCSIDYE9HVRnSugCGOiswFKgHlzbpOr5ffQXTp6v7ixYZeOON7NnPaOu5rXRd05XbCbfJZ5OPxW0X06xEMzZt0nd8cwMZX+MyhfF9kePrVhzCysoKT09P/P39H3ne39//kal7GTl8+DCurq6ZHZ4Q4jkZDAYG1xzMzp47KeJQhNNRp6k5uybL/16ud2gvZcIE6NVLlSru1AkCA3UOyGAgvVQ/aLwLbF0h+gRsrQHXNugcmBCoSzqnJ6sy+klRkK86+IWAS2O9I2PGjH9Ljf/0E3TurG88LyNdS2fszrG0WNKC2wm38XT1JHRAKK3KttI7NCFyJV2r6g0dOpQ5c+Ywb948Tp06xZAhQ7h8+TIDBw4EYMSIEfT4T1e6KVOm8Mcff3D27FlOnDjBiBEjWL16NR988IFe34IQ4oE6xepweMBhGpVoxP2U+3Re3ZkPN31Iclqy3qG9EINBlSh+801VnvzNN+HoUb2jAgp5qzekhepASjTsehOOjwNNx0IWIndLjVdl80OHqjL6JXpA0z1gV1zvyFi1Ct5/X93/4gsYPFjfeF5GVHwULZe0ZMyuMWhoDPAcwJ7ee3B3ctc7NCFyLV0Tp06dOjFlyhTGjRtH1apVCQwMZNOmTRQvrn7pRkREPNLTKTk5mWHDhlG5cmV8fX3Zs2cPGzdupF27dnp9C0KI/3C2c2Zbt22MrDsSgGmHplF/QX2uRF/RObIXY2EBy5eDry9ER4OfH1y4oHdUqCtOjXZAmfcBDY6PhsC2kBytd2Qit4m7CNt8IHwpGCxUGf3aC1RZfZ1t3w5du6qLYQMGwLhxekf04g5eO4jnLE+2nt+KrYUtC9ssZMYbM7Cx0K/IhhBC58QJ4P333+fSpUskJSUREhLySHW8BQsWsHPnzoePP/vsM86dO0dCQgJ37txh9+7dtGzZUoeohRBPY25mzjeNv2HdO+twsnFi/9X9VJ1ZlXVnnlzAxVTZ2sK6dVC5Mty4AU2bqn91Z24FNX6B2vPBzBqurYOtNSH6lN6RidwiYhts8YR7R8HGGRrvgHIfmkTFx+Bg1cw6ORnat4dffjGJsJ6bpmlM2jeJuvPqcjn6MqXzl2Z/3/30qNIj4xcLIYxO98RJCJEztS7XmpD+IXi6enIn4Q5vLX+Lj7d8TFJqUsYvNhFOTrBlC5Qsqa44NWkCt27pHdUDJXupaVF53CA2TCVPV9boHZXIyTQNToyHAD9IvgsFaoFfKDj76h0ZoKbUNm8OcXHQqBEsWQLm2agXbFR8FK2XteaTbZ+Qkp5C+/LtCe4XTOXClfUOTQjxgCROQgijKZmvJEF9ghhSewgAPx34iTrz6nDujr49kl6Eqyts2wZFisCJE+rK0507ekf1QAEv8AsG5waQGge728PRUZCepndkIqdJiVVV846OADQo1Q+a7II8r+kdGQAnT6oPNu7cgVq1YO1aeEJBXZMVGB5I1RlV2Xh2I9bm1kxvOZ2VHVaS1yav3qEJIf5DEichhFFZmVsxqfkk1r2zjvy2+QmJCKH6zOosO75M79CeW6lSsGMHFC7876fa0aayrMjGGRr5QzmVnHLiW9j1hroiIERmiDkL22rDlVVgZgk1Z0KtWWBuGplJWBg0bgxRUVC9urpKbAJtGp9LWnoa43aNo+HChlyLvUa5AuU40PcA79V4L9s2ExciJ5PESQiRJVqXa82RAUeoW6wuscmxdFnThb7r+hKfEq93aM+lXDm16LxgQbWOws8PYmP1juoBMwvwnAQ+S8DcFiK2wBYvuHtM78hEdndtgyp/H31SFSdpvAtK99c7qofOn1fT8m7cUOsR/f3VFNvs4HrsdZoubsronaNJ19LpWaUnwf2DqeJSRe/QhBBPIYmTECLLuOV1I6BnAF/4foEBA3MPz8VzlieHIw7rHdpzqVgR/voL8uWD/fuhVSu4f1/vqP7DvQs0CwK7EhB3AbZ5Q/gKvaMS2ZGWrsrd72qtyt8XqvOgHL633pE9FB6ukqZr16BCBfX/Zv78ekf1fP48/SdVZlQh4FIAdpZ2LGqziAVtFmBvZa93aEKIZ5DESQiRpSzMLPiq0Vf4d/fHxd6F01GnqTWnFt/v/Z60bLA2p0oVtebJ0RF271Z9nhIS9I7qP/JVVeueXJpBWjzsfQcOfwrpqXpHJrKL5GhV5v74aPW4zCBVBt/WdJrNX72qkqbLl6FsWXU1uFAhvaPK2P3k+/Rf3582K9oQFR9FlcJVCOkfQvcq3fUOTQjxHCRxEkLoonHJxhx/7zhtPNqQkp7C5399TpPFTbJFzycvL9i6Fezt1dqndu0gyZSKBVrnhwaboMJw9fjUD6oSWmKUvnEJ0xd9SlVovLZOlbuvPR9qTFNl8E1ERIRa03Thgqp4uWMHuLjoHVXGDl07RLWZ1ZgdOhuAYd7DOND3AOUKltM5MiHE85LESQihm4J5CrKm4xpmt55NHss87Ly0k8ozKrPib9OfXla7NmzaBHnyqMXobdua2JUnM3Oo+h3UXQkWdhC5HbZ6wZ1QvSMTpurKGpU0xYapMvdN96iy9ybk+nV1pSksDIoVU0nTa6ZR2O+p0tLT+CbwG3zm+XD2zllec3iN7T22M7HZRKwtTKPAhhDi+UjiJITQlcFgoG/1vhwZcISar9XkXuI93ln9Dj3W9iAmKUbv8J7J1xc2bFDNcjdvhjfeMLE1TwDF3oZmB8ChDNwPB/86cHGx3lEJU5KepsrY726vyto7N1DrmQp46R3ZI8LDoV49OH0a3NwgIACKF9c7qme7dO8SDRY24IuAL0hNT6VDhQ4ce+8YjUo00js0IcRLkMRJCGESyhQow5539/B/9f4PM4MZi48tpvKvldlxcYfeoT1Tw4aPTttr3hxiTC3fc6oIzQ9CkVaQlgj7ekDwR5CeondkQm9Jd2BXK1XGHlRZ+0b+YGNaC4bOnVNJ0/nzanpeYKD611Rpmsbc0LlU/rUyey7vwd7KngVvLWDF2yvIb5tNKlgIIR4jiZMQwmRYmlsyruE4AnsFUsKpBOHR4TRe1JgPNn3A/WRTu5TzL19fVdHLyQn27v23EadJsXKC+uug0pfqcdhU2NEEEiJ1DUvo6O4xVWo8YqsqY++zRJW1N7PQO7JHnDqlkqbLl1VbgMBAcHfXO6qnuxZzjVZLW9F3fV9ik2PxcfPh6MCj9KzaU3ozCZHNSeIkhDA5dYrV4dh7xxjoORCAXw79QuUZldkdvlvnyJ6uVi11xalAATh0SF2JunlT76j+h8EMKo+Fen+ChQPcDIQtnhB1UO/IRFa7tFyVq4+7oMrXN9unytmbmKNHoX59VRDi9ddh1y7TXdOkaRqLjy6m0q+V2HxuM9bm1nzf5HsCewVSMp8JXx4TQjw3SZyEECbJ3sqeX9/4lW3dtuHm6MaFuxeov6A+Q7cOJSHFlKow/KtaNfXGrnBhOHYMGjRQi9lNTtE31dQ9Rw9IuAZ/+cL5uXpHJbJCeiqEDoOgzqpcvUszVb4+n+k1Xf3nA4hbt6B6dbWmqXBhvaN6ssi4SNquaEuPP3pwL/EeNYrUIHRAKJ/W+RRzM3O9wxNCZBJJnIQQJq1pqaYcf+84vav2RkNj8v7JVJ1Zlf1X9+sd2hNVrKimEhUtqqYY1a+vphiZnLwe0PwAFG0D6clwoC8cHAhpplRXXWSqxCgIaA6nf1SPKwxXZeutTW/NzT9TXu/eBW9v1aepQAG9o3qcpmn8fuJ3Kk6vyJ9n/sTSzJKvG35NUJ8gKhSqoHd4QohMJomTEMLk5bXJy9y35rKh8wZc7V0Jux2Gz1wfhmwZYpJrn8qW/XcdxrlzUKcOnDihd1RPYOkIvquh8teAAc7NhO0NId4UL5OJV3InVE3LjNyhytPXXanK1Zvg1ZCNG6FpU1VkpX59VXzFyUnvqB53LeYa7X5vR6dVnbidcJuqLlUJ7h/MqHqjsDCxdWJCiMwhiZMQIttoVbYVJ94/QffK3dHQmHJgCpV+rcTWc1v1Du0xJUrA7t3g4QFXr0LdurBnj95RPYHBDCqNgvobwNIJovapN9g3TTFY8VIuLFJl6OMvg31paLZflak3QfPmwVtvqZ5oLVqoXmkODnpH9ah0LZ1ZIbOoML0Cf5z+AwszC76s9yUH+h6gcuHKeocnhDAiSZyEENlKPtt8LGq7iM1dN1M8b3Eu3buE3xI/eqztwe3423qH94iiRVWy5O0N9+6pT9H/+EPvqJ7itZbgdwjyVoLEG+rKU9h00DS9IxMvKz0Fgj+E/T1VGfoirdTP2KmS3pE9RtPgm2+gTx9IS4OePeHPP1WDaVMSdjuMRgsbMWDDAGKSYqj1Wi1C+4cytuFYrMyt9A5PCGFkkjgJIbIlv9J+/P3+33xU6yMMGFh8bDHlfynPsuPL0EzozX6BAqpUeevWkJgI7dvDzJl6R/UUDqVVdbViHUFLheBBcKC3etMtspeEG7C9MYRNU48rfanK0Vs56RrWk6SlwYcfwhdfqMfDh8P8+WBpqW9c/5WSlsJ3u7+j8q+V2RW+izyWeZjSfAp7e+/l9cKv6x2eECKLSOIkhMi27K3smeI3hX199lHJuRK34m/RZU0XWi9rzaV7l/QO76E8eWDNGujbF9LTYeBAGDPGRC/mWNpDneVQ9Xs1je/CAvD3hfumWOFCPFHUfjXd8tZuVXa+3p+qDL3B9P7kJyZCp07wyy9gMMBPP8F336n7puLA1QPUmF2DkTtGkpSWRPNSzTnx/gk+qv2RVMwTIpcxvd+iQgjxgmoVrUVI/xDGNRiHlbkVG89upMIvFfh297ckpZpGlTgLC5g1C7580H927FgYMABSU/WN64kMBqjwKTTcClb54U7wg8ICAXpHJjJybg78VR8Srqty836HVPl5E3TvHjRvDqtXg5UVLF8OgwfrHdW/7iTcYcD6AXjP9eZo5FEK2BZgcdvFbO66GXcnd73DE0LoQBInIUSOYGVuxf/V/z+ODDhCQ/eGJKQmMGrHKKrMqML2C9v1Dg9Q+cjYsfDrr+r+7NnQti3Exuod2VO4NAG/EMhXFZKiYEdTOD3ZRC+V5XJpSXBwABzsp8rLF22rys07ltM7sicKDwdfX1V90sEBtmyBjh31jkpJ19KZf3g+5aaVY1boLDQ0elXtxclBJ+lWuRsGU7ocJoTIUpI4CSFylPKFyrO9x3Z+a/sbhe0Kc+b2GZosbkKX1V2IiI3QOzxATdVbvRqsrWHDBlWuPDxc76iewt4dmu4F926gpUHoUAjqBqnxekcm/hF/Df5qAOdmAQZVXt53lSo3b4KCgqBmTfj7b3BxUclTw4Z6R6UcizxGvfn16L2uN1HxUVQsVJHAXoHMf2s+znbOeocnhNCZJE5CiBzHYDDQtXJXTn9wmg9qfICZwYxlfy/D4xcPph6YSmq6/vPj2raFXbugcGE4fly9kQwK0juqp7DIA96LwPMnMJhD+FLY5gNxF/WOTNzco6ZR3t6vysk32KjKy5vgeiaAxYtVknTzJlStCgcPqn/1FpMUwydbP6H6zOrsvbIXO0s7JjadyOEBh/Et7qt3eEIIE2Gav1mFECITONk48XPLnznY9yA1itQgJimGj7Z8RNUZVU1i+l6tWnDokHrjePOmekO5eLHeUT2FwQDlBkOj7WDjDPeOqjfsEdv0jix30jQ4M02VjU+MBKfXwS8YirTQO7InSk+HESOgRw9ITlYfHOzZA25uOsf1YFpe2Z/LMmn/JNK0NNqVb8epQacY5jMMS3MTKu0nhNCdJE5CiBzPs4gn+/rsY0arGeS3zc+JWydosrgJbVe05fyd87rG5uam3kC2baveUPbood5gpqfrGtbTFa6v1j0VqAnJdyHAD06Ml3VPWSk1Afb3gpAPVdn44u+oMvIOpfSO7Ini4qBdOxg/Xj0eORJWrQI7O33jCroSRK05tei9rjeR9yMpnb80G7tsZHXH1bjl1TmjE0KYJEmchBC5grmZOQO8BnD2w7MMrjkYc4M5f5z+gwrTKzDirxHEJulXocHOTr2RHDlSPR4/XvV7iovTLaRny1MUmuyCUn0ADY6OgD0dIMVUq1zkIPfD4S9fuLhITcer9gP4LAULnbOQp7h1y5YGDSz480+1pm/xYtXo1kzHdx9XY67SdU1X6syrQ/D1YBysHJjYdCJ/v/c3Lcu01C8wIYTJk8RJCJGr5LfNz08tfuLYe8doWrIpyWnJjN87nrLTyrLgyALSNX0u9ZiZqTeUixer0sx//AH161sQEWGab4gxt4Gas6HGDDCzhCurYVttiDmrd2Q5V2QAbPGCOyFgXQAaboPyn5hW06P/CAw0MGxYPY4dM+DsDAEB0K2bfvEkpCTw1a6vKDetHEuPL8WAgT7V+nD2w7MM8xmGtYW1fsEJIbIFSZyEELlShUIV2NptK+veWUfp/KW5EXeDd/98F89Znvx14S/d4urWDXbuBGdnOH7cwCef1OfPP03zjTEGA5QZAI13ga0rRJ+ErTXg2ka9I8tZNA1OTVLl4JOiIF81NV3SpbHekT2RpsGECdCsmTnR0Ta8/rrGwYPg7a1PPGnpaSw4soCy08ry5c4viU+Jp26xugT3D2bOm3MobF9Yn8CEENmOJE5CiFzLYDDQulxr/n7vb75v8j2O1o4cuXGEpoub0vy35hy9cVSXuLy9ITQUfHzSiY+3pEMHCz77zESb5QIU8lZv5Av6QEo07GoNx8eBTlfvcpTUeAjqCoc/UeXgS/RQ5eHtiusd2RPdu6fW6w0fDunpBho2vMzu3akU1yFcTdPYfHYz1WZW490/3+VqzFWK5S3GsvbLCOwVSHXX6lkflBAiW5PESQiR61lbWPNpnU85P/g8H9f6GEszS7ad30a1mdXo+UdPLkdfzvKYXnsN/P3TePPNcwBMnAiNG0OEabSiepytKzQOgDLvAxocHw2BbSE5Wu/Isq+4C7DNG8KXgcECPKdC7QVgYat3ZE905Ah4ecGff6rpptOnpzJ48GHy5Mn6WEKuh9BkcRNaLm3J8ZvHcbJx4oemP3DmgzO8U+kdaWIrhHgpkjgJIcQDBfMUZLLfZE5/cJp3Kr2Dhsaio4so+3NZPvP/jDsJd7I0HktL6N37BMuWpeLgoBqFVq+u/jVJ5lZQ4xeoNQ/MrOHaOthaE6JP6R1Z9hOxTa1nundMlX9vvB3KfWiy65nmz1dXSs+fh+LFYe9e6NtXy/JwL9y9QNc1XfGa7cWOizuwMrdimPcwzg8+zyc+n2BjYZO1AQkhchRJnIQQ4n+UzFeSZe2XcajfIRq4NyApLYmJQRMp8VMJxu4cS0xSTJbG0769xqFDULEi3LgBjRrB99+bcMnyUu9C092Qxw1iw1TydGWt3lFlD5qmyrsH+Kly7wVqqWmQzvX0juyJ4uOhb1/o3RsSE6FFCzXN1Msra+O4En2FAesHPCz8ANCtcjfOfHCGic0mkt82f9YGJITIkSRxEkKIp/Aq4sWOHjvY0HkDlQtXJiYphjG7xlDipxJM2DOB+8n3syyWcuXgwAFVPCItDT7/HJo3h2vXsiyEF1OghmrI6twAUuNgdzs4+gWkp+kdmelKiYU9HVV5dzQo1VeVfc9TVO/Inig0FDw9Ye5cdSHsq69gwwbIn4U5SkRsBIM3D6b0z6WZFTqL1PRUmpVqRmj/UBa3XYy7k3vWBSOEyPEkcRJCiGcwGAy0KtuKwwMOs+LtFXgU9OBOwh2Gbx9OyaklmbJ/CompiVkSi50dLFoEM2aArS389RdUrgyrV2fJ4V+cjTM08odyQ9TjE9+owhHJd/WNyxTFnFXl3K+sUuXda86EWrPB3PRKZKelqap5tWvD6dPg6grbtsEXX2Rdf6ao+Cg+8/+MUlNL8fPBn0lOS6Z+8frsfnc3W7ttpZprtawJRAiRq0jiJIQQz8HMYEbHih35+72/Wdx2MaXyleLm/ZsM2TpEvXk78DMJKQlGj8NggAED1Kf91avDnTvw9tvw7rsQa4r9Z80swHMS+CwBc1uI2AxbasC943pHZjqubVBl3KNPgm0RVd69dH+9o3qiy5dVkZLhwyElRVXQO3YMmjTJmuPfun+LkdtHUuKnEkwMmkhCagLeRb35q/tfBPQMoG6xulkTiBAiV5LESQghXoC5mTndKnfj1KBTzGk9h2J5i3E99jqDtwzG/Sd3JuyZkCVroDw8YN8+GDFCJVMLFkDVquo5k+TeBZoFgZ07xJ2HrbUhfIXeUelLS1dl23e1VmXcC9VV65kK6dTwKAPLl6srnLt2qaufc+aoq50FCxr/2NdirjFkyxCKTynOd3u+Iy45juqu1dnYZSN7e++lccnGUilPCGF0kjgJIcRLsDS3pE/1PoR9EMavrX7F3cmdm/dvMnz7cIpPKc6YnWOMXoXPygq+/VY1zC1WDC5cAF9fGDMGkpONeuiXk6+qWvfk0hTS4mHvO3D4U0g31QZVRpQcrcq1Hx+tHpcZBI22g62LvnE9wd270L07dO4M0dFQq5YqPd6nj/GL/F24e4EB6weoabEHppCQmoBXES/WdlpLcL9gWpZpKQmTECLLSOIkhBCvwNrCmoFeAwn7IIyFbRbiUdCDe4n3GLtrLMWnFOcz/8+IiDVu86V69eDoUejSRa0/GTtWVTU7dMioh3051gWgwWao8Ll6fOoHVUEuMUrfuLJS9ClVafDaOlW2vfZ8qDFNlXM3MatXQ4UK8Ntvav3Sl1/C7t1QurRxj3vy1kl6rO1B2Z/LMit0FslpydQrXo+t3bZysO9B2ni0kYRJCJHlJHESQohMYGluSY8qPfj7vb/5/e3fqVK4CnHJcUwMmoj7T+70/rM3f9/822jHd3KCJUtg6VIoUACOH1eL94cOhftZV/zv+ZiZQ9XxUHclWNhB5HbY6gV3QvWOzPiurFFJU2yYKtfedA+U7KV3VI+5fh3atVPr527cUFUdd+9WSbmlpXGOqWkaOy7uoNXSVlScXpHFxxaTpqXRvFRzAnsFsqvXLpqVaiYJkxBCN5I4CSFEJjI3M6dDxQ4cHnCYDZ034OPmQ3JaMvOPzOf1X1/H7zc//M/7o2maUY7fuTOcOgVdu6o+T5MnQ6VKquqZySn2NjTbD/al4X44+NeBi4v1jso40tPg6CjY3V6VZ3duoNYzFcjihkcZSE+H2bPVVaa1a8HCAkaNUlPzfHyMc8yUtBR+O/Yb1WdVp/Gixmw6uwkDBtp6tOVQv0Ns6bYF3+K+xjm4EEK8AEmchBDCCP4pY76391729dnH2xXexsxgxtbzW2n2WzOqzqzKoqOLSE7L/MVIhQqpqVWbNqm1T5cuqZ5PvXrB7duZfrhX41QJ/A5BkVaQlgj7ekDwR5CeondkmSf5Lux6A058qx57DFVl2m0K6RvX/zh7VjVX7t9frWWqUQNCQuDrr8HGJvOPF50YzcS9Eyk5tSTd13bnyI0j2FrY8r7X+5z54AxrOq3Bq4hpJZZCiNxNEichhDCy2kVrs7LDSs5+eJYPa36InaUdxyKP0fOPnhSbXIwvA77kaszVTD9uixZw4gQMHqwW8S9cCOXLw7x56sqCybBygvrroNKX6nHYVNjRBBIidQ0rU9w9Blu8IGKLKsfuswSq/6jKtJuI+HhVUOT111XFvDx5YNIkVaGxcuXMP97xyOMM3DCQ1ya9xmd/fcbVmKsUtivM1w2/5sqQK/zS6hfKFCiT+QcWQohXJImTEEJkkZL5SjK1xVSuDLnCd42/o4hDESLvR/JV4Fe4T3Gn/e/t2XFxR6ZO47O3h59+gqAgqFgRbt1S1dBq1oS9ezPtMK/OYAaVx0K9P8HCAW4GwhZPiDqgd2Qv79Jy2OYNcRfArgQ026fKspsITVMlxj081NqlpCRo1gz+/huGDAFz88w7VnJaMiv+XkG9+fWoPKMyM0Nmcj/lPpWcKzHvzXmEfxzOqHqjKJCnQOYdVAghMpkkTkIIkcXy2eZjeN3hXProEr+//Tv1i9cnTUtjzak1NF7UmIrTKzLt4LRM7QdVu7ZqmjtpEjg6qilYdeuqSnxXrmTaYV5d0TfV1D1HD0i4Bn/Vg/Nz9Y7qxaSnQugwCOqsyq67NFXfU74qekf2UGioqsbYubP6+RcvDr//Dlu2QIkSmXec28m3GRuoKky+s/oddl/ejbnBnLcrvE1AzwCODTzGu9XexdrCOvMOKoQQRiKJkxBC6MTS3JIOFTuws9dOjr93nPe83sPO0o5TUaf4cPOHFJtajKmXp7Ln8p5MuQplZaWuJJw9q9axGAywbJmqmDZunJqyZRIcy0HzA1C0LaQnw4G+cHAgpCXpHVnGEqMgoDmc/lE9rjBclV+3No0rKZGR0K+fKle/Z4+alvfVV6qgSIcOmdOXKSUthT9O/0Gb39vQ72Q/vtnzDTfibuBi78KX9b4k/ONwVnZYSQP3BlIhTwiRrUjiJIQQJqCScyWmt5rO9U+u83OLnylfsDzxKfHsuLODRr81oty0cozfMz5TekI5O8PMmeqqk68vJCTA6NFq/dOCBZBqCv1oLR3BdxVU+QYwwLmZsL0hxF/XO7KnuxOqphdG7lBl1uuuhKrfqfLrOouLU82Sy5aFOXPUNL0uXeDMGfjiC7C1ffVjnLp1ik+3fUrRyUVpu6Itm85tIp106rrVZXn75YR/HM7YhmN5zfG1Vz+YEELoQBInIYQwIY7WjnxQ8wNOvH+CXT120SR/E+ws7Th75ywjto/AbbIbrZe1Zu2ptSSlvtoVmGrVVDGAFStU9b3Ll+Hdd9VaqGXLTKCAhMEMKo6EBhvB0gmi9qnE5JYpLc564MIiVU49/jI4lIFmB1S5dZ0lJMCPP6rpd6NGQUwMeHqqq01LlkDRoq+2/3uJ95gTOgefuT5UmF6BH/b9wM37NylsV5hPan/CNI9p7Oi+g06VOmFlgg1+hRDiRUjiJIQQJshgMOBd1JsPin3AlY+uMPfNudRxq0OalsaGsA20+70dhX8oTN91fQm4GEBaetpLHgc6dlRTtSZOhIIFISxMXY2oUgXWrFFXJ3RVpAX4BYPT65B4A/5qAGHTTSAwVNn04MGwv6cqp16kFTQ/CE4VdQ0rKQmmTYNSpWDYMIiKgtKlVZn6gwehTp2X33diaiKrT66m3Qp1DvZb3499V/dhbjDnrXJv8ec7f6oCKI2+o6jNK2ZmQghhQkynHqoQQognsreyp3e13vSu1pvTUaeZf3g+S44v4VrsNeYensvcw3Mp4lCEdyq+Q9fKXanmUu2F147kyaPeYA8YAFOnwg8/qOpq7dtD9epqDVTLlpmzBualOJRSVen294bLv0PwILgTDDWmg7kRmgw9j4RI2NMBbu1Wjyt9Ca+PVlfKdJKSoqZbfvXVv0U/ihdXUzG7d1cNbV9GWnoaAZcCWHJ8CWtOrXmkcEnFQhXpUaUHPar0wMXe5d9YclIvLiGEQBInIYTIVjwKejCh6QS+a/IdgeGBLD2+lJUnV3I99jqT9k9i0v5JlCtQjvbl29OufDuqu1Z/oSTKwUFN6Ro0SFXgmzxZVWB74w2oWhWGDoVOnVShiSxnYQd1lkN+Lzg6HC7Mh3vHwXcN2LllbSxRB2B3e1X5z8IBfBZD0beyNob/iI6G2bNV0vtPwvTaa2r9Uu/eL/fzSklLITA8kDWn1rDm9BpuxN14+DU3Rze6vN6FLq93oXJhIzR7EkIIEySJkxBCZENmBjMauDeggXsDfm7xM1vObWHp30tZd2YdZ26f4ds93/Ltnm8pnrc47cq3o135dngX9cb8OQsVODmpq0yDB6spfNOmwZEj0KMHDB+unh8wQG2XpQwGqPAp5K8Gezqpq05bPKHu71C4QdbEcG42BH+gKv45eoDvWsjrkTXH/h/h4apP15w5EBurnitcGEaMUD8fmxe8GJeYmshfF/5i9anVrDuzjjsJdx5+Lb9tfjpW6EiX17tQp1gdzHS8siaEEHqQxEkIIbI5awtr3vJ4i7c83iImKYaNYRtZc3oNm85uIjw6nMn7JzN5/2QK2xXmrXJv8UbZN2hUohF2VnYZ7rtgQZgwAT7/XFXi+/lnuH5dJU9ffaWa6X78ceb2/nkuLk3ALwR2t4W7R2BHE6g2Ecp9bLz5hGlJEDIYzs1Sj4u2Be8FqgJgFjt0SBV9WLUK0h4sb6tQAT75RK1Pe5GEKSo+iq3ntrI+bD0bz24kLjnu4dcK5ilIm3JtaFe+HY1LNpYCD0KIXE0SJyGEyEEcrR3p/HpnOr/emYSUBLae38qaU2tYd2YdkfcjmRU6i1mhs7Ayt6KBewNalm5JyzItKVOgzDP3mz+/uooxdCgsX67etB8/rqaGTZsGrVqpJKplS7C0zKJv1t4dmu6FgwPg0m8QOhRuB0Ot2WCRJ3OPFX8Ndr8Nt/cDBqjyterRlIVXXWJjVZPauXNh375/n2/cWK1Pa978+XLGdC2d0IhQNp3dxKazmzh47SAa/xbaeM3hNdqVb0f78u2pU6wOFmbyVkEIIUASJyGEyLFsLW1p49GGNh5tSE5LJuBiwMOrCpfuXWLb+W1sO7+Nj7d+TOn8pWlRugVNSjahXvF6ONk4PXGf1tbQs6easufvrxKobdtg/Xp1K1xYfa13b/DIitlrFnnAexEUqKESp/ClEH0C6q0F+0y6DHZzD+x5GxIjVVn0OktVpb8soGkQFATz5qmy8ffvq+ctLKBzZ5XIVq2a8X6ux14n4GIA/hf82XxuMzfv33zk61UKV6FF6Ra0Ld8WryJeMg1PCCGeQBInIYTIBazMrWheujnNSzfnZ+1nztw+8/CKQ2B4IOfunOPngz/z88GfMTOY4enqSUP3hjQq0Yi6xeo+Nq3PYIBmzdTt9Gn1xn7hQoiMVGuiJk5UJa9794YOHVTRCaMxGKDcYHCqoqrc3TsKW7ygzjJwbfby+9U0ODsdQj4GLVWVQ/ddqyr8GVlEhCodPm+eGt9/lC2rxrRHD3B1ffrro+Kj2HlpJzsu7iDgUgCno04/8nV7K3ualmxKyzItaVG6hTSlFUKI5yCJkxBC5DIGgwGPgh54FPRgqPdQYpNi2X5xO1vObSHgUgBht8M4dP0Qh64f4vug77E0s6TmazWpW6wuPm4+eBf1ppBdoYf78/CA77+Hb76BjRvVm/1Nm2DvXnV77z2VYLVrB2++CQUKGOkbK1z/wbqn9nDnEOxsAVW+hfKfvfi6p9QEOPQeXFyoHhfrCLXmgqV95sf9wKVLsHat6p21d++/bary5FG9tvr0Ucno/34rmqYRHh3Oviv7CLoSxO7LuzkaefSRbQwYqO5anYbuDWlRpgV1i9WV9UpCCPGCJHESQohczsHa4eGUPoCrMVcJuBjAjks72HFxB5ejL7P3yl72Xtn78DWl85d+mER5F/WmonNFLC0taNMG2rRRBSQWLVI9hc6cgQ0b1M3cHOrXV/2h2rSBIkUy+Zuxc4OmgXBoEFyYB0eGq3VPtec/f9Jz/zLsbgd3QtQapqoTwOMToxSdOHVKJUpr1qiy7//l7a2uLnXq9OgVu8TURA5HHCboShBBV4PYd2UfEXERj+27knMlGrk3omGJhtQvXp98tvkyPX4hhMhNJHESQgjxiKKORelepTvdq3RH0zQu3rvIzks7CboSxL6r+zh56yTn7pzj3J1zLDq6CAAbCxsqF65MdZfqVHOtRnXX6nw8rBKff27DyZP/JgdHjsCOHeo2aBB4ekKjRupWty7YZ8YFHXMbqDVHrXsKGQxXVkHMKTXNzvHZRTCIDIA9HSEpCqwLqL5RLk0yISjl1i3YuVN9/9u3w9mz/37NzAzq1VNX5tq0ATc3iEmK4fCNI4SeCOXwjcMcjjjMyVsnSdPSHtmvhZkF1Vyq4ePmg4+bD/WL16ewfeFMi1sIIYQkTkIIIZ7BYDBQMl9JSuYrSe9qvQG4m3CXA9cOPEykDlw9QGxyLAevHeTgtYMPX2thZkH5guV5vfDrlK9fni/al8cuoTxHdpRm3Vor9u2DkBB1mzhRFTyoWfPfRKp2bbC1fenAocxAcKqsCjtEn4CtNaD2PMjvqbZJScE2/SbcD1elAC+vgiOfg5YG+aqpxrr27q80fvfuQWDgv8ni8eOPft3SEpo0gVZt7uNR9ww3Uk9xKuoUH+87xbE/jnHuzrkn7rdQnkIPkyTvot54FfHC1vJlB0sIIcTz0D1xmj59OhMnTiQiIoKKFSsyZcoUfH19n7r9rl27GDp0KCdOnKBIkSJ89tlnDBw4MAsjFkKI3C2fbT78SvvhV9oPUOWtz905x+GIwxy+cZjQCHV1JCo+iuM3j3P85qPZgoWZBaW6lMJvQHnM75Xl7oUSnAt25+aZEgQdLE5QkA1ff62m9ZUvD9WrQ7Vq6la1KuTN+wLBFvJ5sO7pbYgKUuufHrAEmgFs+p/XlOgBNWaAxYslIpGRarrd4cPqFhoKFy78ZwOrOHC+SPGq6uZY7CKJdmc4ee8UmyPCYeWT9+vm6EZ11+pUc1FX8qq5VuM1h9cwGKtflRBCiCfSNXFasWIFH3/8MdOnT6dOnTrMnDmTFi1acPLkSYoVK/bY9hcvXqRly5b069eP3377jb179/L+++9TqFAh2rdv/4QjCCGEMDYzgxllC5SlbIGydKrUCVAFC67GXOXwDTW17FTUKU7dUldT4pLjOHP7DGdun1E7yI/KYB4UwLNNLULqrRKkRBXj7zgX/j7nyqIjrjDVFeJccC/oSpVy+ShZwkCJEjy8ubuD3ZN6+tq6QuMAOPIZnJ8HWsqDGCE9PR0zMzO1fMnCASr9H5T94Knrme7ehYsXVSGHixfV7dz5dA6H3eJmfATY3wD7CHCIgHI3wDMC68LhGPJfJNEsCoDwBzeiHtweKJinIOULlle3QuWp5FyJqi5VKZin4Kv8eIQQQmQSXROnSZMm0adPH/r27QvAlClT2Lp1K7/++ivffffdY9vPmDGDYsWKMWXKFADKly9PcHAwP/zwgyROQghhQgwGA2553XDL68ab5d58+LymaVyLvfYwiTp/5zwX711Ut7sXuZ9ynwSL6+B6HVz3PnHfl4BLaRaQ6ARnneC4EyTmg0QnbMhHXmtH8ljbYGdli52NDY62NjjY2pDXriYOeXwxe5AUpaWnceniRdxLlMDczJy09HRiNiQRfX8eMQkJxCYkcj/pwS05geike6SY3QObe2B7V/1rfxdqRUNt7YmxAiT9535+2/y4O7lTwqkEJZxKUDp/aSoUqkD5QuUlQRJCCBOnW+KUnJxMSEgIw4cPf+T5Zs2aERQU9MTX7Nu3j2bNHu3J0bx5c+bOnUtKSgqWT2hXn5SURFLSv3+2YmJiAEhJSSElJeVVv41X9k8MphBLTiTja1wyvsaVU8e3sG1hChcrTINiDR55XtM0ouKjuBR9iYv3LnI99jo34m5w4/4NbsTdICIughuxkdxNugPmqWAXpW7/kfjg9pg0IObB7b/yAJFP2N7mwe05GTBQKI8zLvaFcbV3pbB9YVzsXXCxc8HN0Q13J3fc87qT1+bp8wxz2s85p56/pkLG17hkfI3LlMb3RWLQLXGKiooiLS2NwoUfrfpTuHBhbty48cTX3Lhx44nbp6amEhUVhesTugF+9913jB079rHnt23bRp48eV7hO8hc/v7+eoeQo8n4GpeMr3HlxvG1x56yD/7DAnB6cANS0lOISY3hftp94tLiHv57Nz6RyNgk7sUnkZiaSkJqKklpKSSnpZCsJZOiJZOqPf0PpAEDFgYrLA2WWJlZYW1mhbWFBTbmlthaWVAgjzXOjlY42eTBztwOe3P7h/86WDhgbjB/dIfxD2634NqD/3Kj3Hj+ZiUZX+OS8TUuUxjf+Pj4595W9+IQ/7u4VdO0Zy54fdL2T3r+HyNGjGDo0KEPH8fExODm5kazZs1wdHR82bAzTUpKCv7+/jRt2vSJV8zEq5HxNS4ZX+OS8TUuGV/jkvE1Lhlf45LxNS5TGt9/ZqM9D90Sp4IFC2Jubv7Y1aWbN28+dlXpHy4uLk/c3sLCggJPaUVvbW2NtbX1Y89bWlrq/oP6L1OLJ6eR8TUuGV/jkvE1Lhlf45LxNS4ZX+OS8TUuUxjfFzm+mRHjeCYrKys8PT0fu0Tn7++Pj4/PE1/j7e392Pbbtm3Dy8tL90EXQgghhBBC5Fy6JU4AQ4cOZc6cOcybN49Tp04xZMgQLl++/LAv04gRI+jRo8fD7QcOHEh4eDhDhw7l1KlTzJs3j7lz5zJs2DC9vgUhhBBCCCFELqDrGqdOnTpx+/Ztxo0bR0REBJUqVWLTpk0UL14cgIiICC5fvvxw+xIlSrBp0yaGDBnCL7/8QpEiRZg6daqUIhdCCCGEEEIYle7FId5//33ef//9J35twYIFjz1Xv359QkNDjRyVEEIIIYQQQvxL16l6QgghhBBCCJEdSOIkhBBCCCGEEBmQxEkIIYQQQgghMiCJkxBCCCGEEEJkQBInIYQQQgghhMiAJE5CCCGEEEIIkQFJnIQQQgghhBAiA5I4CSGEEEIIIUQGJHESQgghhBBCiAxI4iSEEEIIIYQQGZDESQghhBBCCCEyIImTEEIIIYQQQmRAEichhBBCCCGEyIAkTkIIIYQQQgiRAUmchBBCCCGEECIDkjgJIYQQQgghRAYkcRJCCCGEEEKIDEjiJIQQQgghhBAZkMRJCCGEEEIIITIgiZMQQgghhBBCZMBC7wCymqZpAMTExOgciZKSkkJ8fDwxMTFYWlrqHU6OI+NrXDK+xiXja1wyvsYl42tcMr7GJeNrXKY0vv/kBP/kCM+S6xKn2NhYANzc3HSORAghhBBCCGEKYmNjyZs37zO3MWjPk17lIOnp6Vy/fh0HBwcMBoPe4RATE4ObmxtXrlzB0dFR73ByHBlf45LxNS4ZX+OS8TUuGV/jkvE1Lhlf4zKl8dU0jdjYWIoUKYKZ2bNXMeW6K05mZmYULVpU7zAe4+joqPuJk5PJ+BqXjK9xyfgal4yvccn4GpeMr3HJ+BqXqYxvRlea/iHFIYQQQgghhBAiA5I4CSGEEEIIIUQGJHHSmbW1NaNHj8ba2lrvUHIkGV/jkvE1Lhlf45LxNS4ZX+OS8TUuGV/jyq7jm+uKQwghhBBCCCHEi5IrTkIIIYQQQgiRAUmchBBCCCGEECIDkjgJIYQQQgghRAYkcRJCCCGEEEKIDEjilIUuXbpEnz59KFGiBLa2tpQqVYrRo0eTnJz8zNdpmsaYMWMoUqQItra2NGjQgBMnTmRR1NnLN998g4+PD3ny5MHJyem5XtOrVy8MBsMjt9q1axs30GzqZcZXzt/nd/fuXbp3707evHnJmzcv3bt35969e898jZy/zzZ9+nRKlCiBjY0Nnp6e7N69+5nb79q1C09PT2xsbChZsiQzZszIokizpxcZ3507dz52rhoMBk6fPp2FEWcfgYGBtG7dmiJFimAwGPjjjz8yfI2cv8/vRcdXzt/n991331GjRg0cHBxwdnamTZs2nDlzJsPXZYfzVxKnLHT69GnS09OZOXMmJ06cYPLkycyYMYORI0c+83Xff/89kyZNYtq0aRw6dAgXFxeaNm1KbGxsFkWefSQnJ9OhQwfee++9F3qdn58fERERD2+bNm0yUoTZ28uMr5y/z69Lly4cOXKELVu2sGXLFo4cOUL37t0zfJ2cv0+2YsUKPv74Y0aNGsXhw4fx9fWlRYsWXL58+YnbX7x4kZYtW+Lr68vhw4cZOXIkgwcPZvXq1VkcefbwouP7jzNnzjxyvpYpUyaLIs5e7t+/T5UqVZg2bdpzbS/n74t50fH9h5y/Gdu1axeDBg1i//79+Pv7k5qaSrNmzbh///5TX5Ntzl9N6Or777/XSpQo8dSvp6enay4uLtr48eMfPpeYmKjlzZtXmzFjRlaEmC3Nnz9fy5s373Nt27NnT+2tt94yajw5zfOOr5y/z+/kyZMaoO3fv//hc/v27dMA7fTp0099nZy/T1ezZk1t4MCBjzzn4eGhDR8+/Inbf/bZZ5qHh8cjzw0YMECrXbu20WLMzl50fAMCAjRAu3v3bhZEl7MA2tq1a5+5jZy/L+95xlfO35d38+ZNDdB27dr11G2yy/krV5x0Fh0dTf78+Z/69YsXL3Ljxg2aNWv28Dlra2vq169PUFBQVoSYK+zcuRNnZ2fKli1Lv379uHnzpt4h5Qhy/j6/ffv2kTdvXmrVqvXwudq1a5M3b94Mx0rO38clJycTEhLyyLkH0KxZs6eO5759+x7bvnnz5gQHB5OSkmK0WLOjlxnff1SrVg1XV1caN25MQECAMcPMVeT8zRpy/r646OhogGe+380u568kTjo6f/48P//8MwMHDnzqNjdu3ACgcOHCjzxfuHDhh18Tr6ZFixYsWbKEHTt28OOPP3Lo0CEaNWpEUlKS3qFle3L+Pr8bN27g7Oz82PPOzs7PHCs5f58sKiqKtLS0Fzr3bty48cTtU1NTiYqKMlqs2dHLjK+rqyuzZs1i9erVrFmzhnLlytG4cWMCAwOzIuQcT85f45Lz9+VomsbQoUOpW7culSpVeup22eX8lcQpE4wZM+aJCwb/ewsODn7kNdevX8fPz48OHTrQt2/fDI9hMBgeeaxp2mPP5VQvM74volOnTrRq1YpKlSrRunVrNm/eTFhYGBs3bszE78J0GXt8Qc7f5x3fJ41JRmOV28/fjLzoufek7Z/0vFBeZHzLlStHv379qF69Ot7e3kyfPp1WrVrxww8/ZEWouYKcv8Yj5+/L+eCDDzh27BjLli3LcNvscP5a6B1ATvDBBx/wzjvvPHMbd3f3h/evX79Ow4YN8fb2ZtasWc98nYuLC6AycVdX14fP37x587HMPKd60fF9Va6urhQvXpyzZ89m2j5NmTHHV87f5x/fY8eOERkZ+djXbt269UJjldvO36cpWLAg5ubmj139eNa55+Li8sTtLSwsKFCggNFizY5eZnyfpHbt2vz222+ZHV6uJOdv1pPz99k+/PBD1q1bR2BgIEWLFn3mttnl/JXEKRMULFiQggULPte2165do2HDhnh6ejJ//nzMzJ590a9EiRK4uLjg7+9PtWrVADW3fNeuXUyYMOGVY88OXmR8M8Pt27e5cuXKI2/0czJjjq+cv88/vt7e3kRHR3Pw4EFq1qwJwIEDB4iOjsbHx+e5j5fbzt+nsbKywtPTE39/f9q2bfvweX9/f956660nvsbb25v169c/8ty2bdvw8vLC0tLSqPFmNy8zvk9y+PDhXH+uZhY5f7OenL9PpmkaH374IWvXrmXnzp2UKFEiw9dkm/NXr6oUudG1a9e00qVLa40aNdKuXr2qRUREPLz9V7ly5bQ1a9Y8fDx+/Hgtb9682po1a7Tjx49rnTt31lxdXbWYmJis/hZMXnh4uHb48GFt7Nixmr29vXb48GHt8OHDWmxs7MNt/ju+sbGx2ieffKIFBQVpFy9e1AICAjRvb2/ttddek/F9ghcdX02T8/dF+Pn5aZUrV9b27dun7du3T3v99de1N95445Ft5Px9fsuXL9csLS21uXPnaidPntQ+/vhjzc7OTrt06ZKmaZo2fPhwrXv37g+3v3DhgpYnTx5tyJAh2smTJ7W5c+dqlpaW2qpVq/T6Fkzai47v5MmTtbVr12phYWHa33//rQ0fPlwDtNWrV+v1LZi02NjYh79jAW3SpEna4cOHtfDwcE3T5Px9VS86vnL+Pr/33ntPy5s3r7Zz585H3uvGx8c/3Ca7nr+SOGWh+fPna8ATb/8FaPPnz3/4OD09XRs9erTm4uKiWVtba/Xq1dOOHz+exdFnDz179nzi+AYEBDzc5r/jGx8frzVr1kwrVKiQZmlpqRUrVkzr2bOndvnyZX2+ARP3ouOraXL+vojbt29rXbt21RwcHDQHBweta9euj5W+lfP3xfzyyy9a8eLFNSsrK6169eqPlMPt2bOnVr9+/Ue237lzp1atWjXNyspKc3d313799dcsjjh7eZHxnTBhglaqVCnNxsZGy5cvn1a3bl1t48aNOkSdPfxT/vp/bz179tQ0Tc7fV/Wi4yvn7/N72nvd/743yK7nr0HTHqy8EkIIIYQQQgjxRFJVTwghhBBCCCEyIImTEEIIIYQQQmRAEichhBBCCCGEyIAkTkIIIYQQQgiRAUmchBBCCCGEECIDkjgJIYQQQgghRAYkcRJCCCGEEEKIDEjiJIQQQgghhBAZkMRJCCGEEEIIITIgiZMQQohsqVevXrRp0yZLj7lgwQKcnJyy9JhCCCFMgyROQgghhBBCCJEBSZyEEEJkew0aNGDw4MF89tln5M+fHxcXF8aMGfPINgaDgV9//ZUWLVpga2tLiRIlWLly5cOv79y5E4PBwL179x4+d+TIEQwGA5cuXWLnzp28++67REdHYzAYMBgMjx1DCCFEziWJkxBCiBxh4cKF2NnZceDAAb7//nvGjRuHv7//I9v83//9H+3bt+fo0aN069aNzp07c+rUqefav4+PD1OmTMHR0ZGIiAgiIiIYNmyYMb4VIYQQJkgSJyGEEDlC5cqVGT16NGXKlKFHjx54eXmxffv2R7bp0KEDffv2pWzZsnz11Vd4eXnx888/P9f+raysyJs3LwaDARcXF1xcXLC3tzfGtyKEEMIESeIkhBAiR6hcufIjj11dXbl58+Yjz3l7ez/2+HmvOAkhhMjdJHESQgiRI1haWj7y2GAwkJ6enuHrDAYDAGZm6k+ipmkPv5aSkpKJEQohhMjOJHESQgiRa+zfv/+xxx4eHgAUKlQIgIiIiIdfP3LkyCPbW1lZkZaWZtwghRBCmCRJnIQQQuQaK1euZN68eYSFhTF69GgOHjzIBx98AEDp0qVxc3NjzJgxhIWFsXHjRn788cdHXu/u7k5cXBzbt28nKiqK+Ph4Pb4NIYQQOpDESQghRK4xduxYli9fTuXKlVm4cCFLliyhQoUKgJrqt2zZMk6fPk2VKlWYMGECX3/99SOv9/HxYeDAgXTq1IlChQrx/fff6/FtCCGE0IFB++9kbiGEECKHMhgMrF27ljZt2ugdihBCiGxIrjgJIYQQQgghRAYkcRJCCCGEEEKIDFjoHYAQQgiRFWRmuhBCiFchV5yEEEIIIYQQIgOSOAkhhBBCCCFEBiRxEkIIIYQQQogMSOIkhBBCCCGEEBmQxEkIIYQQQgghMiCJkxBCCCGEEEJkQBInIYQQQgghhMiAJE5CCCGEEEIIkYH/B2RgfFtll8iyAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 1000x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 画出L2损失\n",
    "import torch\n",
    "import torch.nn.functional as F\n",
    "import matplotlib.pyplot as plt\n",
    "# def L1_loss(x,y):\n",
    "#     return abs(x-y)\n",
    "# def MSELoss(x,y):\n",
    "#     return (x-y)**2\n",
    "#造点数据\n",
    "x = torch.linspace(-2, 2, 100) #-2到2之间取100个点\n",
    "y_true = torch.zeros_like(x)  # 假设目标值为0\n",
    "\n",
    "# 计算各种损失函数\n",
    "mse_loss = F.mse_loss(x, y_true, reduction='none')\n",
    "l1_loss = F.l1_loss(x, y_true, reduction='none')\n",
    "smooth_l1_loss = F.smooth_l1_loss(x, y_true, reduction='none')\n",
    "# bce_loss = F.binary_cross_entropy_with_logits(x, y_true, reduction='none')\n",
    "# hinge_loss = F.hinge_embedding_loss(x, y_true, reduction='none')\n",
    "# cross_entropy_loss = F.cross_entropy(x, y_true, reduction='none') 要求x是2维度，y_true是1维度\n",
    "\n",
    "# 绘制损失函数\n",
    "plt.figure(figsize=(10, 8))\n",
    "plt.plot(x.numpy(), mse_loss.numpy(), label='L2 Loss (MSE Loss)', color='blue')\n",
    "plt.plot(x.numpy(), l1_loss.numpy(), label='L1 Loss (MAE Loss)', color='orange')\n",
    "plt.plot(x.numpy(), smooth_l1_loss.numpy(), label='Smooth L1 Loss', color='green')\n",
    "# plt.plot(x.numpy(), bce_loss.numpy(), label='Binary Cross Entropy Loss', color='red')\n",
    "# plt.plot(x.numpy(), hinge_loss.numpy(), label='Hinge Loss', color='purple')\n",
    "# plt.plot(x.numpy(), cross_entropy_loss.numpy(), label='Cross Entropy Loss', color='cyan')\n",
    "\n",
    "# 添加图例和标签\n",
    "plt.title('Common Loss Functions')\n",
    "plt.xlabel('Input')\n",
    "plt.ylabel('Loss')\n",
    "plt.legend(loc='upper center')\n",
    "plt.grid(True)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 平滑的L1损失\n",
    "\n",
    "$$\\text { Smooth L1 Loss }= \\begin{cases}0.5 \\times\\left(y_i-\\hat{y}_i\\right)^2 & \\text { if }\\left|y_i-\\hat{y}_i\\right|<1 \\\\ \\left|y_i-\\hat{y}_i\\right|-0.5 & \\text { otherwise }\\end{cases}$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import torch\n",
    "import torch.nn.functional as F\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# 生成数据\n",
    "x = torch.linspace(-2, 2, 100, requires_grad=True)\n",
    "y_true = torch.zeros_like(x)  # 假设目标值为0\n",
    "\n",
    "# 计算Smooth L1 Loss\n",
    "smooth_l1_loss = F.smooth_l1_loss(x, y_true, reduction='none')\n",
    "\n",
    "# 计算似然函数（exp(-loss)）\n",
    "likelihood = torch.exp(-smooth_l1_loss)\n",
    "\n",
    "# 计算Smooth L1 Loss的导数（梯度）\n",
    "smooth_l1_loss.sum().backward()\n",
    "smooth_l1_grad = x.grad.clone()\n",
    "\n",
    "# 绘制Smooth L1 Loss、似然函数及其导数\n",
    "plt.figure(figsize=(10, 6))\n",
    "\n",
    "# 绘制Smooth L1 Loss\n",
    "plt.plot(x.detach().numpy(), smooth_l1_loss.detach().numpy(), label='Smooth L1 loss', color='green')\n",
    "plt.plot(x.detach().numpy(), smooth_l1_grad.numpy(), label='Smooth L1 grad', color='blue')\n",
    "plt.plot(x.detach().numpy(), likelihood.detach().numpy(), label='Smooth L1 Likelihood', color='red')\n",
    "plt.title('Smooth L1 ')\n",
    "plt.grid(True)\n",
    "plt.legend()\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "dl2024",
   "language": "python",
   "name": "dl2024"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.19"
  },
  "orig_nbformat": 4
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
